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Finding the Fourth Proportional to 77,383.88, 115,926.35 and 57,084.87

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Solution

The fourth proportional to 77,383.88, 115,926.35 and 57,084.87 is: 85,517.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,383.88 : 115,926.35 = 57,084.87 : x
  2. Step 2: Convert to fraction form
    77,383.88/115,926.35 = 57,084.87/x
  3. Step 3: Cross multiply
    77,383.88x = 115,926.35 × 57,084.87
  4. Step 4: Simplify right side
    77,383.88x = 6,617,640,333.90
  5. Step 5: Solve for x
    x = 6,617,640,333.90/77,383.88
  6. Step 6: Final answer
    x = 85,517.05

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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.