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Finding the Fourth Proportional to 75,072, 112,608 and 28,313.94

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Solution

The fourth proportional to 75,072, 112,608 and 28,313.94 is: 42,470.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,072 : 112,608 = 28,313.94 : x
  2. Step 2: Convert to fraction form
    75,072/112,608 = 28,313.94/x
  3. Step 3: Cross multiply
    75,072x = 112,608 × 28,313.94
  4. Step 4: Simplify right side
    75,072x = 3,188,376,155.52
  5. Step 5: Solve for x
    x = 3,188,376,155.52/75,072
  6. Step 6: Final answer
    x = 42,470.91

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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.