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Finding the Fourth Proportional to 147,948, 204,168.24 and 80,880

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Solution

The fourth proportional to 147,948, 204,168.24 and 80,880 is: 111,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,948 : 204,168.24 = 80,880 : x
  2. Step 2: Convert to fraction form
    147,948/204,168.24 = 80,880/x
  3. Step 3: Cross multiply
    147,948x = 204,168.24 × 80,880
  4. Step 4: Simplify right side
    147,948x = 16,513,127,251.20
  5. Step 5: Solve for x
    x = 16,513,127,251.20/147,948
  6. Step 6: Final answer
    x = 111,614.40

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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.