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Finding the Fourth Proportional to 158,456.78, 218,671.12 and 85,859.65

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Solution

The fourth proportional to 158,456.78, 218,671.12 and 85,859.65 is: 118,486.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,456.78 : 218,671.12 = 85,859.65 : x
  2. Step 2: Convert to fraction form
    158,456.78/218,671.12 = 85,859.65/x
  3. Step 3: Cross multiply
    158,456.78x = 218,671.12 × 85,859.65
  4. Step 4: Simplify right side
    158,456.78x = 18,775,025,399.01
  5. Step 5: Solve for x
    x = 18,775,025,399.01/158,456.78
  6. Step 6: Final answer
    x = 118,486.73

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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.