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Finding the Fourth Proportional to 315,123.80, 472,562.37 and 109,906.65

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Solution

The fourth proportional to 315,123.80, 472,562.37 and 109,906.65 is: 164,816.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,123.80 : 472,562.37 = 109,906.65 : x
  2. Step 2: Convert to fraction form
    315,123.80/472,562.37 = 109,906.65/x
  3. Step 3: Cross multiply
    315,123.80x = 472,562.37 × 109,906.65
  4. Step 4: Simplify right side
    315,123.80x = 51,937,747,002.76
  5. Step 5: Solve for x
    x = 51,937,747,002.76/315,123.80
  6. Step 6: Final answer
    x = 164,816.96

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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.