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Finding the Fourth Proportional to 65,987.90, 98,961.01 and 21,604.46

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Solution

The fourth proportional to 65,987.90, 98,961.01 and 21,604.46 is: 32,399.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,987.90 : 98,961.01 = 21,604.46 : x
  2. Step 2: Convert to fraction form
    65,987.90/98,961.01 = 21,604.46/x
  3. Step 3: Cross multiply
    65,987.90x = 98,961.01 × 21,604.46
  4. Step 4: Simplify right side
    65,987.90x = 2,137,998,633.29
  5. Step 5: Solve for x
    x = 2,137,998,633.29/65,987.90
  6. Step 6: Final answer
    x = 32,399.86

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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.