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Finding the Fourth Proportional to 78,154.35, 107,847.90 and 49,857

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Solution

The fourth proportional to 78,154.35, 107,847.90 and 49,857 is: 68,799.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,154.35 : 107,847.90 = 49,857 : x
  2. Step 2: Convert to fraction form
    78,154.35/107,847.90 = 49,857/x
  3. Step 3: Cross multiply
    78,154.35x = 107,847.90 × 49,857
  4. Step 4: Simplify right side
    78,154.35x = 5,376,972,750.30
  5. Step 5: Solve for x
    x = 5,376,972,750.30/78,154.35
  6. Step 6: Final answer
    x = 68,799.40

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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.