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Finding the Fourth Proportional to 65,418.10, 98,132.51 and 27,978.48

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Solution

The fourth proportional to 65,418.10, 98,132.51 and 27,978.48 is: 41,970.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,418.10 : 98,132.51 = 27,978.48 : x
  2. Step 2: Convert to fraction form
    65,418.10/98,132.51 = 27,978.48/x
  3. Step 3: Cross multiply
    65,418.10x = 98,132.51 × 27,978.48
  4. Step 4: Simplify right side
    65,418.10x = 2,745,598,538.33
  5. Step 5: Solve for x
    x = 2,745,598,538.33/65,418.10
  6. Step 6: Final answer
    x = 41,970.02

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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.