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Finding the Fourth Proportional to 257,869.42, 386,716.54 and 89,350.42

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Solution

The fourth proportional to 257,869.42, 386,716.54 and 89,350.42 is: 133,995.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,869.42 : 386,716.54 = 89,350.42 : x
  2. Step 2: Convert to fraction form
    257,869.42/386,716.54 = 89,350.42/x
  3. Step 3: Cross multiply
    257,869.42x = 386,716.54 × 89,350.42
  4. Step 4: Simplify right side
    257,869.42x = 34,553,285,269.95
  5. Step 5: Solve for x
    x = 34,553,285,269.95/257,869.42
  6. Step 6: Final answer
    x = 133,995.28

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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.