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Finding the Fourth Proportional to 252,012.85, 378,068.95 and 72,099.97

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Solution

The fourth proportional to 252,012.85, 378,068.95 and 72,099.97 is: 108,164.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,012.85 : 378,068.95 = 72,099.97 : x
  2. Step 2: Convert to fraction form
    252,012.85/378,068.95 = 72,099.97/x
  3. Step 3: Cross multiply
    252,012.85x = 378,068.95 × 72,099.97
  4. Step 4: Simplify right side
    252,012.85x = 27,258,757,882.34
  5. Step 5: Solve for x
    x = 27,258,757,882.34/252,012.85
  6. Step 6: Final answer
    x = 108,164.16

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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.