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Finding the Fourth Proportional to 257,543.88, 386,298.90 and 89,025

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Solution

The fourth proportional to 257,543.88, 386,298.90 and 89,025 is: 133,531.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,543.88 : 386,298.90 = 89,025 : x
  2. Step 2: Convert to fraction form
    257,543.88/386,298.90 = 89,025/x
  3. Step 3: Cross multiply
    257,543.88x = 386,298.90 × 89,025
  4. Step 4: Simplify right side
    257,543.88x = 34,390,259,572.50
  5. Step 5: Solve for x
    x = 34,390,259,572.50/257,543.88
  6. Step 6: Final answer
    x = 133,531.65

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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.