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Finding the Fourth Proportional to 78,122.54, 107,819.88 and 47,902.52

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Solution

The fourth proportional to 78,122.54, 107,819.88 and 47,902.52 is: 66,112.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,122.54 : 107,819.88 = 47,902.52 : x
  2. Step 2: Convert to fraction form
    78,122.54/107,819.88 = 47,902.52/x
  3. Step 3: Cross multiply
    78,122.54x = 107,819.88 × 47,902.52
  4. Step 4: Simplify right side
    78,122.54x = 5,164,843,958.10
  5. Step 5: Solve for x
    x = 5,164,843,958.10/78,122.54
  6. Step 6: Final answer
    x = 66,112.08

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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.