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Finding the Fourth Proportional to 78,091.90, 117,054.92 and 40,614.46

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Solution

The fourth proportional to 78,091.90, 117,054.92 and 40,614.46 is: 60,878.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,091.90 : 117,054.92 = 40,614.46 : x
  2. Step 2: Convert to fraction form
    78,091.90/117,054.92 = 40,614.46/x
  3. Step 3: Cross multiply
    78,091.90x = 117,054.92 × 40,614.46
  4. Step 4: Simplify right side
    78,091.90x = 4,754,122,833.48
  5. Step 5: Solve for x
    x = 4,754,122,833.48/78,091.90
  6. Step 6: Final answer
    x = 60,878.57

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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.