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Finding the Fourth Proportional to 142,405.20, 213,607.80 and 142,405.20

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Solution

The fourth proportional to 142,405.20, 213,607.80 and 142,405.20 is: 213,607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,405.20 : 213,607.80 = 142,405.20 : x
  2. Step 2: Convert to fraction form
    142,405.20/213,607.80 = 142,405.20/x
  3. Step 3: Cross multiply
    142,405.20x = 213,607.80 × 142,405.20
  4. Step 4: Simplify right side
    142,405.20x = 30,418,861,480.56
  5. Step 5: Solve for x
    x = 30,418,861,480.56/142,405.20
  6. Step 6: Final answer
    x = 213,607.80

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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.