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Finding the Fourth Proportional to 123,720.31, 185,543.44 and 64,523.69

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Solution

The fourth proportional to 123,720.31, 185,543.44 and 64,523.69 is: 96,766.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,720.31 : 185,543.44 = 64,523.69 : x
  2. Step 2: Convert to fraction form
    123,720.31/185,543.44 = 64,523.69/x
  3. Step 3: Cross multiply
    123,720.31x = 185,543.44 × 64,523.69
  4. Step 4: Simplify right side
    123,720.31x = 11,971,947,252.82
  5. Step 5: Solve for x
    x = 11,971,947,252.82/123,720.31
  6. Step 6: Final answer
    x = 96,766.22

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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.