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Finding the Fourth Proportional to 108,031.60, 161,701.80 and 99,737.20

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Solution

The fourth proportional to 108,031.60, 161,701.80 and 99,737.20 is: 149,286.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,031.60 : 161,701.80 = 99,737.20 : x
  2. Step 2: Convert to fraction form
    108,031.60/161,701.80 = 99,737.20/x
  3. Step 3: Cross multiply
    108,031.60x = 161,701.80 × 99,737.20
  4. Step 4: Simplify right side
    108,031.60x = 16,127,684,766.96
  5. Step 5: Solve for x
    x = 16,127,684,766.96/108,031.60
  6. Step 6: Final answer
    x = 149,286.73

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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.