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Finding the Fourth Proportional to 137,720.30, 206,701.95 and 81,490.10

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Solution

The fourth proportional to 137,720.30, 206,701.95 and 81,490.10 is: 122,307.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,720.30 : 206,701.95 = 81,490.10 : x
  2. Step 2: Convert to fraction form
    137,720.30/206,701.95 = 81,490.10/x
  3. Step 3: Cross multiply
    137,720.30x = 206,701.95 × 81,490.10
  4. Step 4: Simplify right side
    137,720.30x = 16,844,162,575.70
  5. Step 5: Solve for x
    x = 16,844,162,575.70/137,720.30
  6. Step 6: Final answer
    x = 122,307.04

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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.