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Finding the Fourth Proportional to 257,805.87, 386,657.34 and 87,010.89

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Solution

The fourth proportional to 257,805.87, 386,657.34 and 87,010.89 is: 130,498.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,805.87 : 386,657.34 = 87,010.89 : x
  2. Step 2: Convert to fraction form
    257,805.87/386,657.34 = 87,010.89/x
  3. Step 3: Cross multiply
    257,805.87x = 386,657.34 × 87,010.89
  4. Step 4: Simplify right side
    257,805.87x = 33,643,399,278.43
  5. Step 5: Solve for x
    x = 33,643,399,278.43/257,805.87
  6. Step 6: Final answer
    x = 130,498.97

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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.