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Finding the Fourth Proportional to 108,565.47, 149,912.12 and 81,661.11

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Solution

The fourth proportional to 108,565.47, 149,912.12 and 81,661.11 is: 112,761.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,565.47 : 149,912.12 = 81,661.11 : x
  2. Step 2: Convert to fraction form
    108,565.47/149,912.12 = 81,661.11/x
  3. Step 3: Cross multiply
    108,565.47x = 149,912.12 × 81,661.11
  4. Step 4: Simplify right side
    108,565.47x = 12,241,989,713.35
  5. Step 5: Solve for x
    x = 12,241,989,713.35/108,565.47
  6. Step 6: Final answer
    x = 112,761.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.