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Finding the Fourth Proportional to 142,431.20, 213,646.80 and 142,431.20

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Solution

The fourth proportional to 142,431.20, 213,646.80 and 142,431.20 is: 213,646.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,431.20 : 213,646.80 = 142,431.20 : x
  2. Step 2: Convert to fraction form
    142,431.20/213,646.80 = 142,431.20/x
  3. Step 3: Cross multiply
    142,431.20x = 213,646.80 × 142,431.20
  4. Step 4: Simplify right side
    142,431.20x = 30,429,970,100.16
  5. Step 5: Solve for x
    x = 30,429,970,100.16/142,431.20
  6. Step 6: Final answer
    x = 213,646.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.