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Finding the Fourth Proportional to 65,876.88, 98,781.66 and 21,475.08

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Solution

The fourth proportional to 65,876.88, 98,781.66 and 21,475.08 is: 32,201.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,876.88 : 98,781.66 = 21,475.08 : x
  2. Step 2: Convert to fraction form
    65,876.88/98,781.66 = 21,475.08/x
  3. Step 3: Cross multiply
    65,876.88x = 98,781.66 × 21,475.08
  4. Step 4: Simplify right side
    65,876.88x = 2,121,344,051.03
  5. Step 5: Solve for x
    x = 2,121,344,051.03/65,876.88
  6. Step 6: Final answer
    x = 32,201.65

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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.