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Finding the Fourth Proportional to 235,769.78, 353,456.31 and 102,549.71

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Solution

The fourth proportional to 235,769.78, 353,456.31 and 102,549.71 is: 153,738.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,769.78 : 353,456.31 = 102,549.71 : x
  2. Step 2: Convert to fraction form
    235,769.78/353,456.31 = 102,549.71/x
  3. Step 3: Cross multiply
    235,769.78x = 353,456.31 × 102,549.71
  4. Step 4: Simplify right side
    235,769.78x = 36,246,840,320.89
  5. Step 5: Solve for x
    x = 36,246,840,320.89/235,769.78
  6. Step 6: Final answer
    x = 153,738.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.