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Finding the Fourth Proportional to 78,081.16, 117,238.38 and 76,914.76

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Solution

The fourth proportional to 78,081.16, 117,238.38 and 76,914.76 is: 115,487.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,081.16 : 117,238.38 = 76,914.76 : x
  2. Step 2: Convert to fraction form
    78,081.16/117,238.38 = 76,914.76/x
  3. Step 3: Cross multiply
    78,081.16x = 117,238.38 × 76,914.76
  4. Step 4: Simplify right side
    78,081.16x = 9,017,361,860.49
  5. Step 5: Solve for x
    x = 9,017,361,860.49/78,081.16
  6. Step 6: Final answer
    x = 115,487.04

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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.