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Finding the Fourth Proportional to 78,138.27, 117,206.54 and 18,974.00

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Solution

The fourth proportional to 78,138.27, 117,206.54 and 18,974.00 is: 28,460.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,138.27 : 117,206.54 = 18,974.00 : x
  2. Step 2: Convert to fraction form
    78,138.27/117,206.54 = 18,974.00/x
  3. Step 3: Cross multiply
    78,138.27x = 117,206.54 × 18,974.00
  4. Step 4: Simplify right side
    78,138.27x = 2,223,876,606.70
  5. Step 5: Solve for x
    x = 2,223,876,606.70/78,138.27
  6. Step 6: Final answer
    x = 28,460.79

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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.