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Finding the Fourth Proportional to 65,708.52, 98,562.78 and 21,339.77

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Solution

The fourth proportional to 65,708.52, 98,562.78 and 21,339.77 is: 32,009.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,708.52 : 98,562.78 = 21,339.77 : x
  2. Step 2: Convert to fraction form
    65,708.52/98,562.78 = 21,339.77/x
  3. Step 3: Cross multiply
    65,708.52x = 98,562.78 × 21,339.77
  4. Step 4: Simplify right side
    65,708.52x = 2,103,306,562.95
  5. Step 5: Solve for x
    x = 2,103,306,562.95/65,708.52
  6. Step 6: Final answer
    x = 32,009.65

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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.