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Finding the Fourth Proportional to 137,454.80, 206,062.20 and 53,272.40

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Solution

The fourth proportional to 137,454.80, 206,062.20 and 53,272.40 is: 79,862.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,454.80 : 206,062.20 = 53,272.40 : x
  2. Step 2: Convert to fraction form
    137,454.80/206,062.20 = 53,272.40/x
  3. Step 3: Cross multiply
    137,454.80x = 206,062.20 × 53,272.40
  4. Step 4: Simplify right side
    137,454.80x = 10,977,427,943.28
  5. Step 5: Solve for x
    x = 10,977,427,943.28/137,454.80
  6. Step 6: Final answer
    x = 79,862.09

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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.