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Finding the Fourth Proportional to 65,195.97, 89,967.30 and 40,040.61

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Solution

The fourth proportional to 65,195.97, 89,967.30 and 40,040.61 is: 55,254.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,195.97 : 89,967.30 = 40,040.61 : x
  2. Step 2: Convert to fraction form
    65,195.97/89,967.30 = 40,040.61/x
  3. Step 3: Cross multiply
    65,195.97x = 89,967.30 × 40,040.61
  4. Step 4: Simplify right side
    65,195.97x = 3,602,345,572.05
  5. Step 5: Solve for x
    x = 3,602,345,572.05/65,195.97
  6. Step 6: Final answer
    x = 55,254.11

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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.