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Finding the Fourth Proportional to 65,873.88, 98,777.16 and 21,472.08

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Solution

The fourth proportional to 65,873.88, 98,777.16 and 21,472.08 is: 32,197.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,873.88 : 98,777.16 = 21,472.08 : x
  2. Step 2: Convert to fraction form
    65,873.88/98,777.16 = 21,472.08/x
  3. Step 3: Cross multiply
    65,873.88x = 98,777.16 × 21,472.08
  4. Step 4: Simplify right side
    65,873.88x = 2,120,951,081.69
  5. Step 5: Solve for x
    x = 2,120,951,081.69/65,873.88
  6. Step 6: Final answer
    x = 32,197.15

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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.