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Finding the Fourth Proportional to 172,542.54, 238,047.07 and 99,905.78

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Solution

The fourth proportional to 172,542.54, 238,047.07 and 99,905.78 is: 137,834.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,542.54 : 238,047.07 = 99,905.78 : x
  2. Step 2: Convert to fraction form
    172,542.54/238,047.07 = 99,905.78/x
  3. Step 3: Cross multiply
    172,542.54x = 238,047.07 × 99,905.78
  4. Step 4: Simplify right side
    172,542.54x = 23,782,278,329.95
  5. Step 5: Solve for x
    x = 23,782,278,329.95/172,542.54
  6. Step 6: Final answer
    x = 137,834.29

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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.