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Finding the Fourth Proportional to 136,412.80, 204,619.20 and 83,851.90

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Solution

The fourth proportional to 136,412.80, 204,619.20 and 83,851.90 is: 125,777.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,412.80 : 204,619.20 = 83,851.90 : x
  2. Step 2: Convert to fraction form
    136,412.80/204,619.20 = 83,851.90/x
  3. Step 3: Cross multiply
    136,412.80x = 204,619.20 × 83,851.90
  4. Step 4: Simplify right side
    136,412.80x = 17,157,708,696.48
  5. Step 5: Solve for x
    x = 17,157,708,696.48/136,412.80
  6. Step 6: Final answer
    x = 125,777.85

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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.