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Finding the Fourth Proportional to 108,461.79, 149,600.12 and 99,538.11

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Solution

The fourth proportional to 108,461.79, 149,600.12 and 99,538.11 is: 137,291.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,461.79 : 149,600.12 = 99,538.11 : x
  2. Step 2: Convert to fraction form
    108,461.79/149,600.12 = 99,538.11/x
  3. Step 3: Cross multiply
    108,461.79x = 149,600.12 × 99,538.11
  4. Step 4: Simplify right side
    108,461.79x = 14,890,912,702.88
  5. Step 5: Solve for x
    x = 14,890,912,702.88/108,461.79
  6. Step 6: Final answer
    x = 137,291.78

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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.