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Finding the Fourth Proportional to 169,470.72, 253,964.16 and 86,423.04

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Solution

The fourth proportional to 169,470.72, 253,964.16 and 86,423.04 is: 129,511.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,470.72 : 253,964.16 = 86,423.04 : x
  2. Step 2: Convert to fraction form
    169,470.72/253,964.16 = 86,423.04/x
  3. Step 3: Cross multiply
    169,470.72x = 253,964.16 × 86,423.04
  4. Step 4: Simplify right side
    169,470.72x = 21,948,354,758.25
  5. Step 5: Solve for x
    x = 21,948,354,758.25/169,470.72
  6. Step 6: Final answer
    x = 129,511.19

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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.