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Finding the Fourth Proportional to 253,842.78, 350,305.11 and 140,667.42

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Solution

The fourth proportional to 253,842.78, 350,305.11 and 140,667.42 is: 194,122.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,842.78 : 350,305.11 = 140,667.42 : x
  2. Step 2: Convert to fraction form
    253,842.78/350,305.11 = 140,667.42/x
  3. Step 3: Cross multiply
    253,842.78x = 350,305.11 × 140,667.42
  4. Step 4: Simplify right side
    253,842.78x = 49,276,516,036.52
  5. Step 5: Solve for x
    x = 49,276,516,036.52/253,842.78
  6. Step 6: Final answer
    x = 194,122.19

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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.