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Finding the Fourth Proportional to 65,437.74, 98,138.97 and 27,979.20

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Solution

The fourth proportional to 65,437.74, 98,138.97 and 27,979.20 is: 41,961.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,437.74 : 98,138.97 = 27,979.20 : x
  2. Step 2: Convert to fraction form
    65,437.74/98,138.97 = 27,979.20/x
  3. Step 3: Cross multiply
    65,437.74x = 98,138.97 × 27,979.20
  4. Step 4: Simplify right side
    65,437.74x = 2,745,849,869.42
  5. Step 5: Solve for x
    x = 2,745,849,869.42/65,437.74
  6. Step 6: Final answer
    x = 41,961.26

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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.