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Finding the Fourth Proportional to 72,284.28, 108,399.78 and 24,885.87

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Solution

The fourth proportional to 72,284.28, 108,399.78 and 24,885.87 is: 37,319.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,284.28 : 108,399.78 = 24,885.87 : x
  2. Step 2: Convert to fraction form
    72,284.28/108,399.78 = 24,885.87/x
  3. Step 3: Cross multiply
    72,284.28x = 108,399.78 × 24,885.87
  4. Step 4: Simplify right side
    72,284.28x = 2,697,622,833.11
  5. Step 5: Solve for x
    x = 2,697,622,833.11/72,284.28
  6. Step 6: Final answer
    x = 37,319.63

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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.