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Finding the Fourth Proportional to 81,374.80, 121,867.80 and 65,822.80

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Solution

The fourth proportional to 81,374.80, 121,867.80 and 65,822.80 is: 98,576.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,374.80 : 121,867.80 = 65,822.80 : x
  2. Step 2: Convert to fraction form
    81,374.80/121,867.80 = 65,822.80/x
  3. Step 3: Cross multiply
    81,374.80x = 121,867.80 × 65,822.80
  4. Step 4: Simplify right side
    81,374.80x = 8,021,679,825.84
  5. Step 5: Solve for x
    x = 8,021,679,825.84/81,374.80
  6. Step 6: Final answer
    x = 98,576.95

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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.