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Finding the Fourth Proportional to 80,969.61, 111,697.20 and 54,147.81

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Solution

The fourth proportional to 80,969.61, 111,697.20 and 54,147.81 is: 74,696.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,969.61 : 111,697.20 = 54,147.81 : x
  2. Step 2: Convert to fraction form
    80,969.61/111,697.20 = 54,147.81/x
  3. Step 3: Cross multiply
    80,969.61x = 111,697.20 × 54,147.81
  4. Step 4: Simplify right side
    80,969.61x = 6,048,158,763.13
  5. Step 5: Solve for x
    x = 6,048,158,763.13/80,969.61
  6. Step 6: Final answer
    x = 74,696.65

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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.