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Finding the Fourth Proportional to 99,399, 137,170.94 and 54,076.97

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Solution

The fourth proportional to 99,399, 137,170.94 and 54,076.97 is: 74,626.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,399 : 137,170.94 = 54,076.97 : x
  2. Step 2: Convert to fraction form
    99,399/137,170.94 = 54,076.97/x
  3. Step 3: Cross multiply
    99,399x = 137,170.94 × 54,076.97
  4. Step 4: Simplify right side
    99,399x = 7,417,788,807.25
  5. Step 5: Solve for x
    x = 7,417,788,807.25/99,399
  6. Step 6: Final answer
    x = 74,626.39

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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.