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Finding the Fourth Proportional to 287,764.90, 431,609.55 and 88,105.30

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Solution

The fourth proportional to 287,764.90, 431,609.55 and 88,105.30 is: 132,146.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,764.90 : 431,609.55 = 88,105.30 : x
  2. Step 2: Convert to fraction form
    287,764.90/431,609.55 = 88,105.30/x
  3. Step 3: Cross multiply
    287,764.90x = 431,609.55 × 88,105.30
  4. Step 4: Simplify right side
    287,764.90x = 38,027,088,885.62
  5. Step 5: Solve for x
    x = 38,027,088,885.62/287,764.90
  6. Step 6: Final answer
    x = 132,146.38

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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.