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Finding the Fourth Proportional to 201,872.52, 278,420.49 and 177,621.12

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Solution

The fourth proportional to 201,872.52, 278,420.49 and 177,621.12 is: 244,973.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,872.52 : 278,420.49 = 177,621.12 : x
  2. Step 2: Convert to fraction form
    201,872.52/278,420.49 = 177,621.12/x
  3. Step 3: Cross multiply
    201,872.52x = 278,420.49 × 177,621.12
  4. Step 4: Simplify right side
    201,872.52x = 49,453,359,264.75
  5. Step 5: Solve for x
    x = 49,453,359,264.75/201,872.52
  6. Step 6: Final answer
    x = 244,973.21

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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.