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Finding the Fourth Proportional to 312,098.10, 468,147.15 and 125,243.70

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Solution

The fourth proportional to 312,098.10, 468,147.15 and 125,243.70 is: 187,865.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,098.10 : 468,147.15 = 125,243.70 : x
  2. Step 2: Convert to fraction form
    312,098.10/468,147.15 = 125,243.70/x
  3. Step 3: Cross multiply
    312,098.10x = 468,147.15 × 125,243.70
  4. Step 4: Simplify right side
    312,098.10x = 58,632,481,210.46
  5. Step 5: Solve for x
    x = 58,632,481,210.46/312,098.10
  6. Step 6: Final answer
    x = 187,865.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.