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Finding the Fourth Proportional to 136,540.68, 204,903.90 and 83,789.16

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Solution

The fourth proportional to 136,540.68, 204,903.90 and 83,789.16 is: 125,740.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,540.68 : 204,903.90 = 83,789.16 : x
  2. Step 2: Convert to fraction form
    136,540.68/204,903.90 = 83,789.16/x
  3. Step 3: Cross multiply
    136,540.68x = 204,903.90 × 83,789.16
  4. Step 4: Simplify right side
    136,540.68x = 17,168,725,661.72
  5. Step 5: Solve for x
    x = 17,168,725,661.72/136,540.68
  6. Step 6: Final answer
    x = 125,740.74

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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.