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Finding the Fourth Proportional to 77,858.64, 106,744.17 and 76,439.85

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Solution

The fourth proportional to 77,858.64, 106,744.17 and 76,439.85 is: 104,799.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,858.64 : 106,744.17 = 76,439.85 : x
  2. Step 2: Convert to fraction form
    77,858.64/106,744.17 = 76,439.85/x
  3. Step 3: Cross multiply
    77,858.64x = 106,744.17 × 76,439.85
  4. Step 4: Simplify right side
    77,858.64x = 8,159,508,343.17
  5. Step 5: Solve for x
    x = 8,159,508,343.17/77,858.64
  6. Step 6: Final answer
    x = 104,799.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.