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Finding the Fourth Proportional to 50,471, 69,652.38 and 28,115

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Solution

The fourth proportional to 50,471, 69,652.38 and 28,115 is: 38,800.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,471 : 69,652.38 = 28,115 : x
  2. Step 2: Convert to fraction form
    50,471/69,652.38 = 28,115/x
  3. Step 3: Cross multiply
    50,471x = 69,652.38 × 28,115
  4. Step 4: Simplify right side
    50,471x = 1,958,276,663.70
  5. Step 5: Solve for x
    x = 1,958,276,663.70/50,471
  6. Step 6: Final answer
    x = 38,800.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.