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Finding the Fourth Proportional to 99,579.70, 137,412.21 and 57,129.22

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Solution

The fourth proportional to 99,579.70, 137,412.21 and 57,129.22 is: 78,833.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,579.70 : 137,412.21 = 57,129.22 : x
  2. Step 2: Convert to fraction form
    99,579.70/137,412.21 = 57,129.22/x
  3. Step 3: Cross multiply
    99,579.70x = 137,412.21 × 57,129.22
  4. Step 4: Simplify right side
    99,579.70x = 7,850,252,375.78
  5. Step 5: Solve for x
    x = 7,850,252,375.78/99,579.70
  6. Step 6: Final answer
    x = 78,833.86

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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.