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Finding the Fourth Proportional to 257,384.43, 386,059.70 and 88,907.17

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Solution

The fourth proportional to 257,384.43, 386,059.70 and 88,907.17 is: 133,354.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,384.43 : 386,059.70 = 88,907.17 : x
  2. Step 2: Convert to fraction form
    257,384.43/386,059.70 = 88,907.17/x
  3. Step 3: Cross multiply
    257,384.43x = 386,059.70 × 88,907.17
  4. Step 4: Simplify right side
    257,384.43x = 34,323,475,378.05
  5. Step 5: Solve for x
    x = 34,323,475,378.05/257,384.43
  6. Step 6: Final answer
    x = 133,354.90

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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.