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Finding the Fourth Proportional to 257,752.64, 386,646.24 and 89,289.92

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Solution

The fourth proportional to 257,752.64, 386,646.24 and 89,289.92 is: 133,940.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,752.64 : 386,646.24 = 89,289.92 : x
  2. Step 2: Convert to fraction form
    257,752.64/386,646.24 = 89,289.92/x
  3. Step 3: Cross multiply
    257,752.64x = 386,646.24 × 89,289.92
  4. Step 4: Simplify right side
    257,752.64x = 34,523,611,837.90
  5. Step 5: Solve for x
    x = 34,523,611,837.90/257,752.64
  6. Step 6: Final answer
    x = 133,940.87

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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.