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Finding the Fourth Proportional to 122,886.92, 184,331.60 and 38,645.20

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Solution

The fourth proportional to 122,886.92, 184,331.60 and 38,645.20 is: 57,968.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,886.92 : 184,331.60 = 38,645.20 : x
  2. Step 2: Convert to fraction form
    122,886.92/184,331.60 = 38,645.20/x
  3. Step 3: Cross multiply
    122,886.92x = 184,331.60 × 38,645.20
  4. Step 4: Simplify right side
    122,886.92x = 7,123,531,730.43
  5. Step 5: Solve for x
    x = 7,123,531,730.43/122,886.92
  6. Step 6: Final answer
    x = 57,968.18

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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.