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Finding the Fourth Proportional to 272,076, 408,137.52 and 75,084

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Solution

The fourth proportional to 272,076, 408,137.52 and 75,084 is: 112,632.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,076 : 408,137.52 = 75,084 : x
  2. Step 2: Convert to fraction form
    272,076/408,137.52 = 75,084/x
  3. Step 3: Cross multiply
    272,076x = 408,137.52 × 75,084
  4. Step 4: Simplify right side
    272,076x = 30,644,597,551.68
  5. Step 5: Solve for x
    x = 30,644,597,551.68/272,076
  6. Step 6: Final answer
    x = 112,632.49

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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.