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Finding the Fourth Proportional to 158,273.46, 218,416.02 and 85,676

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Solution

The fourth proportional to 158,273.46, 218,416.02 and 85,676 is: 118,232.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,273.46 : 218,416.02 = 85,676 : x
  2. Step 2: Convert to fraction form
    158,273.46/218,416.02 = 85,676/x
  3. Step 3: Cross multiply
    158,273.46x = 218,416.02 × 85,676
  4. Step 4: Simplify right side
    158,273.46x = 18,713,010,929.52
  5. Step 5: Solve for x
    x = 18,713,010,929.52/158,273.46
  6. Step 6: Final answer
    x = 118,232.15

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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.