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Finding the Fourth Proportional to 78,169.19, 116,687.76 and 68,710.82

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Solution

The fourth proportional to 78,169.19, 116,687.76 and 68,710.82 is: 102,568.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,169.19 : 116,687.76 = 68,710.82 : x
  2. Step 2: Convert to fraction form
    78,169.19/116,687.76 = 68,710.82/x
  3. Step 3: Cross multiply
    78,169.19x = 116,687.76 × 68,710.82
  4. Step 4: Simplify right side
    78,169.19x = 8,017,711,673.56
  5. Step 5: Solve for x
    x = 8,017,711,673.56/78,169.19
  6. Step 6: Final answer
    x = 102,568.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.