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Finding the Fourth Proportional to 136,165.60, 204,414.80 and 77,042.40

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Solution

The fourth proportional to 136,165.60, 204,414.80 and 77,042.40 is: 115,657.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,165.60 : 204,414.80 = 77,042.40 : x
  2. Step 2: Convert to fraction form
    136,165.60/204,414.80 = 77,042.40/x
  3. Step 3: Cross multiply
    136,165.60x = 204,414.80 × 77,042.40
  4. Step 4: Simplify right side
    136,165.60x = 15,748,606,787.52
  5. Step 5: Solve for x
    x = 15,748,606,787.52/136,165.60
  6. Step 6: Final answer
    x = 115,657.75

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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.