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Finding the Fourth Proportional to 542,080.27, 813,122.19 and 137,272.26

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Solution

The fourth proportional to 542,080.27, 813,122.19 and 137,272.26 is: 205,908.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,080.27 : 813,122.19 = 137,272.26 : x
  2. Step 2: Convert to fraction form
    542,080.27/813,122.19 = 137,272.26/x
  3. Step 3: Cross multiply
    542,080.27x = 813,122.19 × 137,272.26
  4. Step 4: Simplify right side
    542,080.27x = 111,619,120,677.45
  5. Step 5: Solve for x
    x = 111,619,120,677.45/542,080.27
  6. Step 6: Final answer
    x = 205,908.84

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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.