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Finding the Fourth Proportional to 78,149.78, 117,229.94 and 38,696.30

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Solution

The fourth proportional to 78,149.78, 117,229.94 and 38,696.30 is: 58,047.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,149.78 : 117,229.94 = 38,696.30 : x
  2. Step 2: Convert to fraction form
    78,149.78/117,229.94 = 38,696.30/x
  3. Step 3: Cross multiply
    78,149.78x = 117,229.94 × 38,696.30
  4. Step 4: Simplify right side
    78,149.78x = 4,536,364,927.22
  5. Step 5: Solve for x
    x = 4,536,364,927.22/78,149.78
  6. Step 6: Final answer
    x = 58,047.06

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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.