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Finding the Fourth Proportional to 252,698.24, 378,719.40 and 102,764

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Solution

The fourth proportional to 252,698.24, 378,719.40 and 102,764 is: 154,012.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,698.24 : 378,719.40 = 102,764 : x
  2. Step 2: Convert to fraction form
    252,698.24/378,719.40 = 102,764/x
  3. Step 3: Cross multiply
    252,698.24x = 378,719.40 × 102,764
  4. Step 4: Simplify right side
    252,698.24x = 38,918,720,421.60
  5. Step 5: Solve for x
    x = 38,918,720,421.60/252,698.24
  6. Step 6: Final answer
    x = 154,012.63

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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.