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Finding the Fourth Proportional to 203,386, 280,672.76 and 123,898

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Solution

The fourth proportional to 203,386, 280,672.76 and 123,898 is: 170,979.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,386 : 280,672.76 = 123,898 : x
  2. Step 2: Convert to fraction form
    203,386/280,672.76 = 123,898/x
  3. Step 3: Cross multiply
    203,386x = 280,672.76 × 123,898
  4. Step 4: Simplify right side
    203,386x = 34,774,793,618.48
  5. Step 5: Solve for x
    x = 34,774,793,618.48/203,386
  6. Step 6: Final answer
    x = 170,979.29

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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.