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Finding the Fourth Proportional to 65,646.52, 98,449.12 and 21,262.97

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Solution

The fourth proportional to 65,646.52, 98,449.12 and 21,262.97 is: 31,887.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,646.52 : 98,449.12 = 21,262.97 : x
  2. Step 2: Convert to fraction form
    65,646.52/98,449.12 = 21,262.97/x
  3. Step 3: Cross multiply
    65,646.52x = 98,449.12 × 21,262.97
  4. Step 4: Simplify right side
    65,646.52x = 2,093,320,957.79
  5. Step 5: Solve for x
    x = 2,093,320,957.79/65,646.52
  6. Step 6: Final answer
    x = 31,887.77

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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.