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Finding the Fourth Proportional to 102,472.38, 153,738.27 and 42,489.72

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Solution

The fourth proportional to 102,472.38, 153,738.27 and 42,489.72 is: 63,746.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,472.38 : 153,738.27 = 42,489.72 : x
  2. Step 2: Convert to fraction form
    102,472.38/153,738.27 = 42,489.72/x
  3. Step 3: Cross multiply
    102,472.38x = 153,738.27 × 42,489.72
  4. Step 4: Simplify right side
    102,472.38x = 6,532,296,045.58
  5. Step 5: Solve for x
    x = 6,532,296,045.58/102,472.38
  6. Step 6: Final answer
    x = 63,746.89

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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.