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Finding the Fourth Proportional to 65,906.30, 98,789.65 and 21,521.14

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Solution

The fourth proportional to 65,906.30, 98,789.65 and 21,521.14 is: 32,258.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,906.30 : 98,789.65 = 21,521.14 : x
  2. Step 2: Convert to fraction form
    65,906.30/98,789.65 = 21,521.14/x
  3. Step 3: Cross multiply
    65,906.30x = 98,789.65 × 21,521.14
  4. Step 4: Simplify right side
    65,906.30x = 2,126,065,888.20
  5. Step 5: Solve for x
    x = 2,126,065,888.20/65,906.30
  6. Step 6: Final answer
    x = 32,258.92

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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.