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Finding the Fourth Proportional to 136,983.96, 205,517.48 and 97,080.10

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Solution

The fourth proportional to 136,983.96, 205,517.48 and 97,080.10 is: 145,649.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,983.96 : 205,517.48 = 97,080.10 : x
  2. Step 2: Convert to fraction form
    136,983.96/205,517.48 = 97,080.10/x
  3. Step 3: Cross multiply
    136,983.96x = 205,517.48 × 97,080.10
  4. Step 4: Simplify right side
    136,983.96x = 19,951,656,510.95
  5. Step 5: Solve for x
    x = 19,951,656,510.95/136,983.96
  6. Step 6: Final answer
    x = 145,649.58

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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.