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Finding the Fourth Proportional to 99,617.31, 137,469.99 and 54,295.58

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Solution

The fourth proportional to 99,617.31, 137,469.99 and 54,295.58 is: 74,926.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,617.31 : 137,469.99 = 54,295.58 : x
  2. Step 2: Convert to fraction form
    99,617.31/137,469.99 = 54,295.58/x
  3. Step 3: Cross multiply
    99,617.31x = 137,469.99 × 54,295.58
  4. Step 4: Simplify right side
    99,617.31x = 7,464,013,386.93
  5. Step 5: Solve for x
    x = 7,464,013,386.93/99,617.31
  6. Step 6: Final answer
    x = 74,926.87

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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.