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Finding the Fourth Proportional to 154,073.20, 231,109.80 and 71,129.20

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Solution

The fourth proportional to 154,073.20, 231,109.80 and 71,129.20 is: 106,693.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,073.20 : 231,109.80 = 71,129.20 : x
  2. Step 2: Convert to fraction form
    154,073.20/231,109.80 = 71,129.20/x
  3. Step 3: Cross multiply
    154,073.20x = 231,109.80 × 71,129.20
  4. Step 4: Simplify right side
    154,073.20x = 16,438,655,186.16
  5. Step 5: Solve for x
    x = 16,438,655,186.16/154,073.20
  6. Step 6: Final answer
    x = 106,693.80

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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.