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Finding the Fourth Proportional to 257,782.33, 386,581.22 and 89,257.42

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Solution

The fourth proportional to 257,782.33, 386,581.22 and 89,257.42 is: 133,854.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,782.33 : 386,581.22 = 89,257.42 : x
  2. Step 2: Convert to fraction form
    257,782.33/386,581.22 = 89,257.42/x
  3. Step 3: Cross multiply
    257,782.33x = 386,581.22 × 89,257.42
  4. Step 4: Simplify right side
    257,782.33x = 34,505,239,938.46
  5. Step 5: Solve for x
    x = 34,505,239,938.46/257,782.33
  6. Step 6: Final answer
    x = 133,854.17

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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.