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Finding the Fourth Proportional to 99,809.70, 137,742.57 and 57,372.18

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Solution

The fourth proportional to 99,809.70, 137,742.57 and 57,372.18 is: 79,176.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,809.70 : 137,742.57 = 57,372.18 : x
  2. Step 2: Convert to fraction form
    99,809.70/137,742.57 = 57,372.18/x
  3. Step 3: Cross multiply
    99,809.70x = 137,742.57 × 57,372.18
  4. Step 4: Simplify right side
    99,809.70x = 7,902,591,519.70
  5. Step 5: Solve for x
    x = 7,902,591,519.70/99,809.70
  6. Step 6: Final answer
    x = 79,176.59

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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.