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Finding the Fourth Proportional to 118,854.72, 178,244.42 and 38,874.20

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Solution

The fourth proportional to 118,854.72, 178,244.42 and 38,874.20 is: 58,298.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,854.72 : 178,244.42 = 38,874.20 : x
  2. Step 2: Convert to fraction form
    118,854.72/178,244.42 = 38,874.20/x
  3. Step 3: Cross multiply
    118,854.72x = 178,244.42 × 38,874.20
  4. Step 4: Simplify right side
    118,854.72x = 6,929,108,146.37
  5. Step 5: Solve for x
    x = 6,929,108,146.37/118,854.72
  6. Step 6: Final answer
    x = 58,298.97

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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.