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Finding the Fourth Proportional to 83,478.40, 125,176.64 and 41,309.76

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Solution

The fourth proportional to 83,478.40, 125,176.64 and 41,309.76 is: 61,944.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,478.40 : 125,176.64 = 41,309.76 : x
  2. Step 2: Convert to fraction form
    83,478.40/125,176.64 = 41,309.76/x
  3. Step 3: Cross multiply
    83,478.40x = 125,176.64 × 41,309.76
  4. Step 4: Simplify right side
    83,478.40x = 5,171,016,956.01
  5. Step 5: Solve for x
    x = 5,171,016,956.01/83,478.40
  6. Step 6: Final answer
    x = 61,944.37

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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.