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Finding the Fourth Proportional to 123,476.40, 185,308.29 and 81,342.09

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Solution

The fourth proportional to 123,476.40, 185,308.29 and 81,342.09 is: 122,074.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,476.40 : 185,308.29 = 81,342.09 : x
  2. Step 2: Convert to fraction form
    123,476.40/185,308.29 = 81,342.09/x
  3. Step 3: Cross multiply
    123,476.40x = 185,308.29 × 81,342.09
  4. Step 4: Simplify right side
    123,476.40x = 15,073,363,602.93
  5. Step 5: Solve for x
    x = 15,073,363,602.93/123,476.40
  6. Step 6: Final answer
    x = 122,074.85

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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.