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Finding the Fourth Proportional to 55,980.78, 83,963.80 and 18,531.57

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Solution

The fourth proportional to 55,980.78, 83,963.80 and 18,531.57 is: 27,794.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,980.78 : 83,963.80 = 18,531.57 : x
  2. Step 2: Convert to fraction form
    55,980.78/83,963.80 = 18,531.57/x
  3. Step 3: Cross multiply
    55,980.78x = 83,963.80 × 18,531.57
  4. Step 4: Simplify right side
    55,980.78x = 1,555,981,037.17
  5. Step 5: Solve for x
    x = 1,555,981,037.17/55,980.78
  6. Step 6: Final answer
    x = 27,794.92

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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.