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Finding the Fourth Proportional to 77,505.75, 116,278.11 and 22,101.75

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Solution

The fourth proportional to 77,505.75, 116,278.11 and 22,101.75 is: 33,158.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,505.75 : 116,278.11 = 22,101.75 : x
  2. Step 2: Convert to fraction form
    77,505.75/116,278.11 = 22,101.75/x
  3. Step 3: Cross multiply
    77,505.75x = 116,278.11 × 22,101.75
  4. Step 4: Simplify right side
    77,505.75x = 2,569,949,717.69
  5. Step 5: Solve for x
    x = 2,569,949,717.69/77,505.75
  6. Step 6: Final answer
    x = 33,158.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.