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Finding the Fourth Proportional to 108,193.84, 149,305.31 and 65,766.04

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Solution

The fourth proportional to 108,193.84, 149,305.31 and 65,766.04 is: 90,755.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,193.84 : 149,305.31 = 65,766.04 : x
  2. Step 2: Convert to fraction form
    108,193.84/149,305.31 = 65,766.04/x
  3. Step 3: Cross multiply
    108,193.84x = 149,305.31 × 65,766.04
  4. Step 4: Simplify right side
    108,193.84x = 9,819,218,534.20
  5. Step 5: Solve for x
    x = 9,819,218,534.20/108,193.84
  6. Step 6: Final answer
    x = 90,755.80

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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.