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Finding the Fourth Proportional to 123,759.61, 185,609.67 and 57,135.74

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Solution

The fourth proportional to 123,759.61, 185,609.67 and 57,135.74 is: 85,689.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,759.61 : 185,609.67 = 57,135.74 : x
  2. Step 2: Convert to fraction form
    123,759.61/185,609.67 = 57,135.74/x
  3. Step 3: Cross multiply
    123,759.61x = 185,609.67 × 57,135.74
  4. Step 4: Simplify right side
    123,759.61x = 10,604,946,310.63
  5. Step 5: Solve for x
    x = 10,604,946,310.63/123,759.61
  6. Step 6: Final answer
    x = 85,689.88

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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.