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Finding the Fourth Proportional to 69,983.28, 104,880.96 and 38,345.76

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Solution

The fourth proportional to 69,983.28, 104,880.96 and 38,345.76 is: 57,467.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,983.28 : 104,880.96 = 38,345.76 : x
  2. Step 2: Convert to fraction form
    69,983.28/104,880.96 = 38,345.76/x
  3. Step 3: Cross multiply
    69,983.28x = 104,880.96 × 38,345.76
  4. Step 4: Simplify right side
    69,983.28x = 4,021,740,120.73
  5. Step 5: Solve for x
    x = 4,021,740,120.73/69,983.28
  6. Step 6: Final answer
    x = 57,467.16

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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.