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Finding the Fourth Proportional to 81,169.64, 112,016.50 and 45,359.74

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Solution

The fourth proportional to 81,169.64, 112,016.50 and 45,359.74 is: 62,597.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,169.64 : 112,016.50 = 45,359.74 : x
  2. Step 2: Convert to fraction form
    81,169.64/112,016.50 = 45,359.74/x
  3. Step 3: Cross multiply
    81,169.64x = 112,016.50 × 45,359.74
  4. Step 4: Simplify right side
    81,169.64x = 5,081,039,315.71
  5. Step 5: Solve for x
    x = 5,081,039,315.71/81,169.64
  6. Step 6: Final answer
    x = 62,597.78

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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.