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Finding the Fourth Proportional to 287,902.50, 431,854.97 and 88,207.53

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Solution

The fourth proportional to 287,902.50, 431,854.97 and 88,207.53 is: 132,311.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,902.50 : 431,854.97 = 88,207.53 : x
  2. Step 2: Convert to fraction form
    287,902.50/431,854.97 = 88,207.53/x
  3. Step 3: Cross multiply
    287,902.50x = 431,854.97 × 88,207.53
  4. Step 4: Simplify right side
    287,902.50x = 38,092,859,780.89
  5. Step 5: Solve for x
    x = 38,092,859,780.89/287,902.50
  6. Step 6: Final answer
    x = 132,311.67

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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.