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Finding the Fourth Proportional to 65,408.31, 98,128.87 and 25,952.40

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Solution

The fourth proportional to 65,408.31, 98,128.87 and 25,952.40 is: 38,935.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,408.31 : 98,128.87 = 25,952.40 : x
  2. Step 2: Convert to fraction form
    65,408.31/98,128.87 = 25,952.40/x
  3. Step 3: Cross multiply
    65,408.31x = 98,128.87 × 25,952.40
  4. Step 4: Simplify right side
    65,408.31x = 2,546,679,620.91
  5. Step 5: Solve for x
    x = 2,546,679,620.91/65,408.31
  6. Step 6: Final answer
    x = 38,935.11

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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.