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Finding the Fourth Proportional to 272,105.14, 408,161.76 and 103,634.76

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Solution

The fourth proportional to 272,105.14, 408,161.76 and 103,634.76 is: 155,453.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,105.14 : 408,161.76 = 103,634.76 : x
  2. Step 2: Convert to fraction form
    272,105.14/408,161.76 = 103,634.76/x
  3. Step 3: Cross multiply
    272,105.14x = 408,161.76 × 103,634.76
  4. Step 4: Simplify right side
    272,105.14x = 42,299,746,038.78
  5. Step 5: Solve for x
    x = 42,299,746,038.78/272,105.14
  6. Step 6: Final answer
    x = 155,453.68

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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.