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Finding the Fourth Proportional to 169,585.65, 254,383.89 and 85,299.78

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Solution

The fourth proportional to 169,585.65, 254,383.89 and 85,299.78 is: 127,952.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,585.65 : 254,383.89 = 85,299.78 : x
  2. Step 2: Convert to fraction form
    169,585.65/254,383.89 = 85,299.78/x
  3. Step 3: Cross multiply
    169,585.65x = 254,383.89 × 85,299.78
  4. Step 4: Simplify right side
    169,585.65x = 21,698,889,852.54
  5. Step 5: Solve for x
    x = 21,698,889,852.54/169,585.65
  6. Step 6: Final answer
    x = 127,952.39

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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.