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Finding the Fourth Proportional to 136,129.60, 204,194.40 and 98,513.20

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Solution

The fourth proportional to 136,129.60, 204,194.40 and 98,513.20 is: 147,769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,129.60 : 204,194.40 = 98,513.20 : x
  2. Step 2: Convert to fraction form
    136,129.60/204,194.40 = 98,513.20/x
  3. Step 3: Cross multiply
    136,129.60x = 204,194.40 × 98,513.20
  4. Step 4: Simplify right side
    136,129.60x = 20,115,843,766.08
  5. Step 5: Solve for x
    x = 20,115,843,766.08/136,129.60
  6. Step 6: Final answer
    x = 147,769.80

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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.