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Finding the Fourth Proportional to 104,869.38, 157,148.52 and 77,031.30

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Solution

The fourth proportional to 104,869.38, 157,148.52 and 77,031.30 is: 115,432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,869.38 : 157,148.52 = 77,031.30 : x
  2. Step 2: Convert to fraction form
    104,869.38/157,148.52 = 77,031.30/x
  3. Step 3: Cross multiply
    104,869.38x = 157,148.52 × 77,031.30
  4. Step 4: Simplify right side
    104,869.38x = 12,105,354,788.68
  5. Step 5: Solve for x
    x = 12,105,354,788.68/104,869.38
  6. Step 6: Final answer
    x = 115,432.69

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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.