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Finding the Fourth Proportional to 142,335.96, 213,623.64 and 71,237.28

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Solution

The fourth proportional to 142,335.96, 213,623.64 and 71,237.28 is: 106,915.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,335.96 : 213,623.64 = 71,237.28 : x
  2. Step 2: Convert to fraction form
    142,335.96/213,623.64 = 71,237.28/x
  3. Step 3: Cross multiply
    142,335.96x = 213,623.64 × 71,237.28
  4. Step 4: Simplify right side
    142,335.96x = 15,217,967,057.30
  5. Step 5: Solve for x
    x = 15,217,967,057.30/142,335.96
  6. Step 6: Final answer
    x = 106,915.83

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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.