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Finding the Fourth Proportional to 52,339.76, 72,228 and 31,119.92

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Solution

The fourth proportional to 52,339.76, 72,228 and 31,119.92 is: 42,944.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,339.76 : 72,228 = 31,119.92 : x
  2. Step 2: Convert to fraction form
    52,339.76/72,228 = 31,119.92/x
  3. Step 3: Cross multiply
    52,339.76x = 72,228 × 31,119.92
  4. Step 4: Simplify right side
    52,339.76x = 2,247,729,581.76
  5. Step 5: Solve for x
    x = 2,247,729,581.76/52,339.76
  6. Step 6: Final answer
    x = 42,944.97

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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.