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Finding the Fourth Proportional to 65,761.92, 98,642.88 and 61,038

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Solution

The fourth proportional to 65,761.92, 98,642.88 and 61,038 is: 91,557.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,761.92 : 98,642.88 = 61,038 : x
  2. Step 2: Convert to fraction form
    65,761.92/98,642.88 = 61,038/x
  3. Step 3: Cross multiply
    65,761.92x = 98,642.88 × 61,038
  4. Step 4: Simplify right side
    65,761.92x = 6,020,964,109.44
  5. Step 5: Solve for x
    x = 6,020,964,109.44/65,761.92
  6. Step 6: Final answer
    x = 91,557.00

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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.