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Finding the Fourth Proportional to 85,262.48, 117,624.86 and 81,309.68

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Solution

The fourth proportional to 85,262.48, 117,624.86 and 81,309.68 is: 112,171.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,262.48 : 117,624.86 = 81,309.68 : x
  2. Step 2: Convert to fraction form
    85,262.48/117,624.86 = 81,309.68/x
  3. Step 3: Cross multiply
    85,262.48x = 117,624.86 × 81,309.68
  4. Step 4: Simplify right side
    85,262.48x = 9,564,039,726.64
  5. Step 5: Solve for x
    x = 9,564,039,726.64/85,262.48
  6. Step 6: Final answer
    x = 112,171.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.