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Finding the Fourth Proportional to 65,866.29, 98,799 and 21,493.08

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Solution

The fourth proportional to 65,866.29, 98,799 and 21,493.08 is: 32,239.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,866.29 : 98,799 = 21,493.08 : x
  2. Step 2: Convert to fraction form
    65,866.29/98,799 = 21,493.08/x
  3. Step 3: Cross multiply
    65,866.29x = 98,799 × 21,493.08
  4. Step 4: Simplify right side
    65,866.29x = 2,123,494,810.92
  5. Step 5: Solve for x
    x = 2,123,494,810.92/65,866.29
  6. Step 6: Final answer
    x = 32,239.48

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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.