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Finding the Fourth Proportional to 287,687.92, 431,580.14 and 87,961.50

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Solution

The fourth proportional to 287,687.92, 431,580.14 and 87,961.50 is: 131,957.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,687.92 : 431,580.14 = 87,961.50 : x
  2. Step 2: Convert to fraction form
    287,687.92/431,580.14 = 87,961.50/x
  3. Step 3: Cross multiply
    287,687.92x = 431,580.14 × 87,961.50
  4. Step 4: Simplify right side
    287,687.92x = 37,962,436,484.61
  5. Step 5: Solve for x
    x = 37,962,436,484.61/287,687.92
  6. Step 6: Final answer
    x = 131,957.01

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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.