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Finding the Fourth Proportional to 123,648.60, 185,364.90 and 84,077.40

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Solution

The fourth proportional to 123,648.60, 185,364.90 and 84,077.40 is: 126,042.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,648.60 : 185,364.90 = 84,077.40 : x
  2. Step 2: Convert to fraction form
    123,648.60/185,364.90 = 84,077.40/x
  3. Step 3: Cross multiply
    123,648.60x = 185,364.90 × 84,077.40
  4. Step 4: Simplify right side
    123,648.60x = 15,584,998,843.26
  5. Step 5: Solve for x
    x = 15,584,998,843.26/123,648.60
  6. Step 6: Final answer
    x = 126,042.66

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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.