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Finding the Fourth Proportional to 78,074, 117,114.24 and 22,670

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Solution

The fourth proportional to 78,074, 117,114.24 and 22,670 is: 34,005.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,074 : 117,114.24 = 22,670 : x
  2. Step 2: Convert to fraction form
    78,074/117,114.24 = 22,670/x
  3. Step 3: Cross multiply
    78,074x = 117,114.24 × 22,670
  4. Step 4: Simplify right side
    78,074x = 2,654,979,820.80
  5. Step 5: Solve for x
    x = 2,654,979,820.80/78,074
  6. Step 6: Final answer
    x = 34,005.94

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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.