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Finding the Fourth Proportional to 287,546.96, 431,398.08 and 87,861.87

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Solution

The fourth proportional to 287,546.96, 431,398.08 and 87,861.87 is: 131,816.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,546.96 : 431,398.08 = 87,861.87 : x
  2. Step 2: Convert to fraction form
    287,546.96/431,398.08 = 87,861.87/x
  3. Step 3: Cross multiply
    287,546.96x = 431,398.08 × 87,861.87
  4. Step 4: Simplify right side
    287,546.96x = 37,903,442,023.21
  5. Step 5: Solve for x
    x = 37,903,442,023.21/287,546.96
  6. Step 6: Final answer
    x = 131,816.53

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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.