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Finding the Fourth Proportional to 67,002.56, 100,504.80 and 31,945.92

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Solution

The fourth proportional to 67,002.56, 100,504.80 and 31,945.92 is: 47,919.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,002.56 : 100,504.80 = 31,945.92 : x
  2. Step 2: Convert to fraction form
    67,002.56/100,504.80 = 31,945.92/x
  3. Step 3: Cross multiply
    67,002.56x = 100,504.80 × 31,945.92
  4. Step 4: Simplify right side
    67,002.56x = 3,210,718,300.42
  5. Step 5: Solve for x
    x = 3,210,718,300.42/67,002.56
  6. Step 6: Final answer
    x = 47,919.34

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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.