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Finding the Fourth Proportional to 257,765.31, 386,555.70 and 89,240.39

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Solution

The fourth proportional to 257,765.31, 386,555.70 and 89,240.39 is: 133,828.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,765.31 : 386,555.70 = 89,240.39 : x
  2. Step 2: Convert to fraction form
    257,765.31/386,555.70 = 89,240.39/x
  3. Step 3: Cross multiply
    257,765.31x = 386,555.70 × 89,240.39
  4. Step 4: Simplify right side
    257,765.31x = 34,496,381,276.18
  5. Step 5: Solve for x
    x = 34,496,381,276.18/257,765.31
  6. Step 6: Final answer
    x = 133,828.64

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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.