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Finding the Fourth Proportional to 257,035.64, 385,543.85 and 67,494.29

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Solution

The fourth proportional to 257,035.64, 385,543.85 and 67,494.29 is: 101,238.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,035.64 : 385,543.85 = 67,494.29 : x
  2. Step 2: Convert to fraction form
    257,035.64/385,543.85 = 67,494.29/x
  3. Step 3: Cross multiply
    257,035.64x = 385,543.85 × 67,494.29
  4. Step 4: Simplify right side
    257,035.64x = 26,022,006,154.43
  5. Step 5: Solve for x
    x = 26,022,006,154.43/257,035.64
  6. Step 6: Final answer
    x = 101,238.90

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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.