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Finding the Fourth Proportional to 252,384.52, 378,202.76 and 102,442.36

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Solution

The fourth proportional to 252,384.52, 378,202.76 and 102,442.36 is: 153,511.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,384.52 : 378,202.76 = 102,442.36 : x
  2. Step 2: Convert to fraction form
    252,384.52/378,202.76 = 102,442.36/x
  3. Step 3: Cross multiply
    252,384.52x = 378,202.76 × 102,442.36
  4. Step 4: Simplify right side
    252,384.52x = 38,743,983,292.91
  5. Step 5: Solve for x
    x = 38,743,983,292.91/252,384.52
  6. Step 6: Final answer
    x = 153,511.73

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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.