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Finding the Fourth Proportional to 108,017.70, 149,144.13 and 65,633.10

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Solution

The fourth proportional to 108,017.70, 149,144.13 and 65,633.10 is: 90,622.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,017.70 : 149,144.13 = 65,633.10 : x
  2. Step 2: Convert to fraction form
    108,017.70/149,144.13 = 65,633.10/x
  3. Step 3: Cross multiply
    108,017.70x = 149,144.13 × 65,633.10
  4. Step 4: Simplify right side
    108,017.70x = 9,788,791,598.70
  5. Step 5: Solve for x
    x = 9,788,791,598.70/108,017.70
  6. Step 6: Final answer
    x = 90,622.11

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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.