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Finding the Fourth Proportional to 55,715.48, 83,581.17 and 18,278.48

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Solution

The fourth proportional to 55,715.48, 83,581.17 and 18,278.48 is: 27,420.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,715.48 : 83,581.17 = 18,278.48 : x
  2. Step 2: Convert to fraction form
    55,715.48/83,581.17 = 18,278.48/x
  3. Step 3: Cross multiply
    55,715.48x = 83,581.17 × 18,278.48
  4. Step 4: Simplify right side
    55,715.48x = 1,527,736,414.49
  5. Step 5: Solve for x
    x = 1,527,736,414.49/55,715.48
  6. Step 6: Final answer
    x = 27,420.32

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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.