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Finding the Fourth Proportional to 253,910.32, 380,913.68 and 102,119.04

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Solution

The fourth proportional to 253,910.32, 380,913.68 and 102,119.04 is: 153,197.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,910.32 : 380,913.68 = 102,119.04 : x
  2. Step 2: Convert to fraction form
    253,910.32/380,913.68 = 102,119.04/x
  3. Step 3: Cross multiply
    253,910.32x = 380,913.68 × 102,119.04
  4. Step 4: Simplify right side
    253,910.32x = 38,898,539,324.47
  5. Step 5: Solve for x
    x = 38,898,539,324.47/253,910.32
  6. Step 6: Final answer
    x = 153,197.95

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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.