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Finding the Fourth Proportional to 65,129.76, 97,691.04 and 18,380.16

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Solution

The fourth proportional to 65,129.76, 97,691.04 and 18,380.16 is: 27,569.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,129.76 : 97,691.04 = 18,380.16 : x
  2. Step 2: Convert to fraction form
    65,129.76/97,691.04 = 18,380.16/x
  3. Step 3: Cross multiply
    65,129.76x = 97,691.04 × 18,380.16
  4. Step 4: Simplify right side
    65,129.76x = 1,795,576,945.77
  5. Step 5: Solve for x
    x = 1,795,576,945.77/65,129.76
  6. Step 6: Final answer
    x = 27,569.22

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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.