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Finding the Fourth Proportional to 202,542.62, 279,506.13 and 111,898.76

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Solution

The fourth proportional to 202,542.62, 279,506.13 and 111,898.76 is: 154,418.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,542.62 : 279,506.13 = 111,898.76 : x
  2. Step 2: Convert to fraction form
    202,542.62/279,506.13 = 111,898.76/x
  3. Step 3: Cross multiply
    202,542.62x = 279,506.13 × 111,898.76
  4. Step 4: Simplify right side
    202,542.62x = 31,276,387,961.87
  5. Step 5: Solve for x
    x = 31,276,387,961.87/202,542.62
  6. Step 6: Final answer
    x = 154,418.80

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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.