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Finding the Fourth Proportional to 71,656.95, 98,660.72 and 65,013.94

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Solution

The fourth proportional to 71,656.95, 98,660.72 and 65,013.94 is: 89,514.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,656.95 : 98,660.72 = 65,013.94 : x
  2. Step 2: Convert to fraction form
    71,656.95/98,660.72 = 65,013.94/x
  3. Step 3: Cross multiply
    71,656.95x = 98,660.72 × 65,013.94
  4. Step 4: Simplify right side
    71,656.95x = 6,414,321,312.06
  5. Step 5: Solve for x
    x = 6,414,321,312.06/71,656.95
  6. Step 6: Final answer
    x = 89,514.29

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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.