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Finding the Fourth Proportional to 199,478.78, 275,279.78 and 108,834.48

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Solution

The fourth proportional to 199,478.78, 275,279.78 and 108,834.48 is: 150,191.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,478.78 : 275,279.78 = 108,834.48 : x
  2. Step 2: Convert to fraction form
    199,478.78/275,279.78 = 108,834.48/x
  3. Step 3: Cross multiply
    199,478.78x = 275,279.78 × 108,834.48
  4. Step 4: Simplify right side
    199,478.78x = 29,959,931,710.81
  5. Step 5: Solve for x
    x = 29,959,931,710.81/199,478.78
  6. Step 6: Final answer
    x = 150,191.07

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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.