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Finding the Fourth Proportional to 83,378.28, 115,082.28 and 51,528

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Solution

The fourth proportional to 83,378.28, 115,082.28 and 51,528 is: 71,121.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,378.28 : 115,082.28 = 51,528 : x
  2. Step 2: Convert to fraction form
    83,378.28/115,082.28 = 51,528/x
  3. Step 3: Cross multiply
    83,378.28x = 115,082.28 × 51,528
  4. Step 4: Simplify right side
    83,378.28x = 5,929,959,723.84
  5. Step 5: Solve for x
    x = 5,929,959,723.84/83,378.28
  6. Step 6: Final answer
    x = 71,121.16

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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.