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Finding the Fourth Proportional to 65,437.24, 98,138.22 and 27,978.70

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Solution

The fourth proportional to 65,437.24, 98,138.22 and 27,978.70 is: 41,960.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,437.24 : 98,138.22 = 27,978.70 : x
  2. Step 2: Convert to fraction form
    65,437.24/98,138.22 = 27,978.70/x
  3. Step 3: Cross multiply
    65,437.24x = 98,138.22 × 27,978.70
  4. Step 4: Simplify right side
    65,437.24x = 2,745,779,815.91
  5. Step 5: Solve for x
    x = 2,745,779,815.91/65,437.24
  6. Step 6: Final answer
    x = 41,960.51

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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.