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Finding the Fourth Proportional to 257,166.98, 385,775.86 and 88,665.15

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Solution

The fourth proportional to 257,166.98, 385,775.86 and 88,665.15 is: 133,006.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,166.98 : 385,775.86 = 88,665.15 : x
  2. Step 2: Convert to fraction form
    257,166.98/385,775.86 = 88,665.15/x
  3. Step 3: Cross multiply
    257,166.98x = 385,775.86 × 88,665.15
  4. Step 4: Simplify right side
    257,166.98x = 34,204,874,493.28
  5. Step 5: Solve for x
    x = 34,204,874,493.28/257,166.98
  6. Step 6: Final answer
    x = 133,006.48

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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.