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Finding the Fourth Proportional to 78,068, 117,116.80 and 31,324.56

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Solution

The fourth proportional to 78,068, 117,116.80 and 31,324.56 is: 46,992.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,068 : 117,116.80 = 31,324.56 : x
  2. Step 2: Convert to fraction form
    78,068/117,116.80 = 31,324.56/x
  3. Step 3: Cross multiply
    78,068x = 117,116.80 × 31,324.56
  4. Step 4: Simplify right side
    78,068x = 3,668,632,228.61
  5. Step 5: Solve for x
    x = 3,668,632,228.61/78,068
  6. Step 6: Final answer
    x = 46,992.78

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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.