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Finding the Fourth Proportional to 142,271,996.20, 199,718,271.80 and 142,271,996.20

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Solution

The fourth proportional to 142,271,996.20, 199,718,271.80 and 142,271,996.20 is: 199,718,271.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,271,996.20 : 199,718,271.80 = 142,271,996.20 : x
  2. Step 2: Convert to fraction form
    142,271,996.20/199,718,271.80 = 142,271,996.20/x
  3. Step 3: Cross multiply
    142,271,996.20x = 199,718,271.80 × 142,271,996.20
  4. Step 4: Simplify right side
    142,271,996.20x = 28,414,317,206,600,168
  5. Step 5: Solve for x
    x = 28,414,317,206,600,168/142,271,996.20
  6. Step 6: Final answer
    x = 199,718,271.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.