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Finding the Fourth Proportional to 99,469.73, 137,252.81 and 57,020.06

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Solution

The fourth proportional to 99,469.73, 137,252.81 and 57,020.06 is: 78,678.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,469.73 : 137,252.81 = 57,020.06 : x
  2. Step 2: Convert to fraction form
    99,469.73/137,252.81 = 57,020.06/x
  3. Step 3: Cross multiply
    99,469.73x = 137,252.81 × 57,020.06
  4. Step 4: Simplify right side
    99,469.73x = 7,826,163,947.05
  5. Step 5: Solve for x
    x = 7,826,163,947.05/99,469.73
  6. Step 6: Final answer
    x = 78,678.85

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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.