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Finding the Fourth Proportional to 71,656.45, 98,660.03 and 65,013.44

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Solution

The fourth proportional to 71,656.45, 98,660.03 and 65,013.44 is: 89,513.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,656.45 : 98,660.03 = 65,013.44 : x
  2. Step 2: Convert to fraction form
    71,656.45/98,660.03 = 65,013.44/x
  3. Step 3: Cross multiply
    71,656.45x = 98,660.03 × 65,013.44
  4. Step 4: Simplify right side
    71,656.45x = 6,414,227,122.44
  5. Step 5: Solve for x
    x = 6,414,227,122.44/71,656.45
  6. Step 6: Final answer
    x = 89,513.61

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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.