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Finding the Fourth Proportional to 99,902.97, 137,872.26 and 57,460.59

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Solution

The fourth proportional to 99,902.97, 137,872.26 and 57,460.59 is: 79,299.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,902.97 : 137,872.26 = 57,460.59 : x
  2. Step 2: Convert to fraction form
    99,902.97/137,872.26 = 57,460.59/x
  3. Step 3: Cross multiply
    99,902.97x = 137,872.26 × 57,460.59
  4. Step 4: Simplify right side
    99,902.97x = 7,922,221,404.23
  5. Step 5: Solve for x
    x = 7,922,221,404.23/99,902.97
  6. Step 6: Final answer
    x = 79,299.16

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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.