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Finding the Fourth Proportional to 78,168.75, 107,881.10 and 47,947.16

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Solution

The fourth proportional to 78,168.75, 107,881.10 and 47,947.16 is: 66,172.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,168.75 : 107,881.10 = 47,947.16 : x
  2. Step 2: Convert to fraction form
    78,168.75/107,881.10 = 47,947.16/x
  3. Step 3: Cross multiply
    78,168.75x = 107,881.10 × 47,947.16
  4. Step 4: Simplify right side
    78,168.75x = 5,172,591,583.53
  5. Step 5: Solve for x
    x = 5,172,591,583.53/78,168.75
  6. Step 6: Final answer
    x = 66,172.12

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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.