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Finding the Fourth Proportional to 119,287.27, 178,837.05 and 81,732.84

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Solution

The fourth proportional to 119,287.27, 178,837.05 and 81,732.84 is: 122,534.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,287.27 : 178,837.05 = 81,732.84 : x
  2. Step 2: Convert to fraction form
    119,287.27/178,837.05 = 81,732.84/x
  3. Step 3: Cross multiply
    119,287.27x = 178,837.05 × 81,732.84
  4. Step 4: Simplify right side
    119,287.27x = 14,616,859,993.72
  5. Step 5: Solve for x
    x = 14,616,859,993.72/119,287.27
  6. Step 6: Final answer
    x = 122,534.95

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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.