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Finding the Fourth Proportional to 77,321.64, 106,706.49 and 73,778.70

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Solution

The fourth proportional to 77,321.64, 106,706.49 and 73,778.70 is: 101,817.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,321.64 : 106,706.49 = 73,778.70 : x
  2. Step 2: Convert to fraction form
    77,321.64/106,706.49 = 73,778.70/x
  3. Step 3: Cross multiply
    77,321.64x = 106,706.49 × 73,778.70
  4. Step 4: Simplify right side
    77,321.64x = 7,872,665,744.87
  5. Step 5: Solve for x
    x = 7,872,665,744.87/77,321.64
  6. Step 6: Final answer
    x = 101,817.11

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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.