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Finding the Fourth Proportional to 65,871.78, 98,826.17 and 26,456.57

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Solution

The fourth proportional to 65,871.78, 98,826.17 and 26,456.57 is: 39,692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,871.78 : 98,826.17 = 26,456.57 : x
  2. Step 2: Convert to fraction form
    65,871.78/98,826.17 = 26,456.57/x
  3. Step 3: Cross multiply
    65,871.78x = 98,826.17 × 26,456.57
  4. Step 4: Simplify right side
    65,871.78x = 2,614,601,484.44
  5. Step 5: Solve for x
    x = 2,614,601,484.44/65,871.78
  6. Step 6: Final answer
    x = 39,692.29

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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.