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Finding the Fourth Proportional to 114,691.76, 158,219.69 and 80,719.10

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Solution

The fourth proportional to 114,691.76, 158,219.69 and 80,719.10 is: 111,353.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,691.76 : 158,219.69 = 80,719.10 : x
  2. Step 2: Convert to fraction form
    114,691.76/158,219.69 = 80,719.10/x
  3. Step 3: Cross multiply
    114,691.76x = 158,219.69 × 80,719.10
  4. Step 4: Simplify right side
    114,691.76x = 12,771,350,187.98
  5. Step 5: Solve for x
    x = 12,771,350,187.98/114,691.76
  6. Step 6: Final answer
    x = 111,353.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.