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Finding the Fourth Proportional to 66,906.16, 100,398.12 and 25,356.40

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Solution

The fourth proportional to 66,906.16, 100,398.12 and 25,356.40 is: 38,049.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,906.16 : 100,398.12 = 25,356.40 : x
  2. Step 2: Convert to fraction form
    66,906.16/100,398.12 = 25,356.40/x
  3. Step 3: Cross multiply
    66,906.16x = 100,398.12 × 25,356.40
  4. Step 4: Simplify right side
    66,906.16x = 2,545,734,889.97
  5. Step 5: Solve for x
    x = 2,545,734,889.97/66,906.16
  6. Step 6: Final answer
    x = 38,049.33

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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.