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Finding the Fourth Proportional to 257,418.96, 386,033.72 and 88,896.40

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Solution

The fourth proportional to 257,418.96, 386,033.72 and 88,896.40 is: 133,311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,418.96 : 386,033.72 = 88,896.40 : x
  2. Step 2: Convert to fraction form
    257,418.96/386,033.72 = 88,896.40/x
  3. Step 3: Cross multiply
    257,418.96x = 386,033.72 × 88,896.40
  4. Step 4: Simplify right side
    257,418.96x = 34,317,007,986.61
  5. Step 5: Solve for x
    x = 34,317,007,986.61/257,418.96
  6. Step 6: Final answer
    x = 133,311.89

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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.