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Finding the Fourth Proportional to 34,123.80, 51,112.80 and 28,291.80

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Solution

The fourth proportional to 34,123.80, 51,112.80 and 28,291.80 is: 42,377.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,123.80 : 51,112.80 = 28,291.80 : x
  2. Step 2: Convert to fraction form
    34,123.80/51,112.80 = 28,291.80/x
  3. Step 3: Cross multiply
    34,123.80x = 51,112.80 × 28,291.80
  4. Step 4: Simplify right side
    34,123.80x = 1,446,073,115.04
  5. Step 5: Solve for x
    x = 1,446,073,115.04/34,123.80
  6. Step 6: Final answer
    x = 42,377.26

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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.