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Finding the Fourth Proportional to 83,420.78, 125,240.79 and 49,748.54

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Solution

The fourth proportional to 83,420.78, 125,240.79 and 49,748.54 is: 74,688.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,420.78 : 125,240.79 = 49,748.54 : x
  2. Step 2: Convert to fraction form
    83,420.78/125,240.79 = 49,748.54/x
  3. Step 3: Cross multiply
    83,420.78x = 125,240.79 × 49,748.54
  4. Step 4: Simplify right side
    83,420.78x = 6,230,546,450.95
  5. Step 5: Solve for x
    x = 6,230,546,450.95/83,420.78
  6. Step 6: Final answer
    x = 74,688.18

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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.