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Finding the Fourth Proportional to 78,876, 118,309.68 and 32,168.16

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Solution

The fourth proportional to 78,876, 118,309.68 and 32,168.16 is: 48,250.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,876 : 118,309.68 = 32,168.16 : x
  2. Step 2: Convert to fraction form
    78,876/118,309.68 = 32,168.16/x
  3. Step 3: Cross multiply
    78,876x = 118,309.68 × 32,168.16
  4. Step 4: Simplify right side
    78,876x = 3,805,804,715.79
  5. Step 5: Solve for x
    x = 3,805,804,715.79/78,876
  6. Step 6: Final answer
    x = 48,250.48

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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.