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Finding the Fourth Proportional to 252,630.41, 378,616.55 and 102,695.57

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Solution

The fourth proportional to 252,630.41, 378,616.55 and 102,695.57 is: 153,909.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,630.41 : 378,616.55 = 102,695.57 : x
  2. Step 2: Convert to fraction form
    252,630.41/378,616.55 = 102,695.57/x
  3. Step 3: Cross multiply
    252,630.41x = 378,616.55 × 102,695.57
  4. Step 4: Simplify right side
    252,630.41x = 38,882,240,777.34
  5. Step 5: Solve for x
    x = 38,882,240,777.34/252,630.41
  6. Step 6: Final answer
    x = 153,909.58

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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.