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Finding the Fourth Proportional to 137,649.30, 206,595.45 and 81,419.10

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Solution

The fourth proportional to 137,649.30, 206,595.45 and 81,419.10 is: 122,200.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,649.30 : 206,595.45 = 81,419.10 : x
  2. Step 2: Convert to fraction form
    137,649.30/206,595.45 = 81,419.10/x
  3. Step 3: Cross multiply
    137,649.30x = 206,595.45 × 81,419.10
  4. Step 4: Simplify right side
    137,649.30x = 16,820,815,603.10
  5. Step 5: Solve for x
    x = 16,820,815,603.10/137,649.30
  6. Step 6: Final answer
    x = 122,200.52

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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.