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Finding the Fourth Proportional to 257,675.68, 386,509.68 and 89,318.56

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Solution

The fourth proportional to 257,675.68, 386,509.68 and 89,318.56 is: 133,976.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,675.68 : 386,509.68 = 89,318.56 : x
  2. Step 2: Convert to fraction form
    257,675.68/386,509.68 = 89,318.56/x
  3. Step 3: Cross multiply
    257,675.68x = 386,509.68 × 89,318.56
  4. Step 4: Simplify right side
    257,675.68x = 34,522,488,043.66
  5. Step 5: Solve for x
    x = 34,522,488,043.66/257,675.68
  6. Step 6: Final answer
    x = 133,976.51

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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.