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Finding the Fourth Proportional to 65,478.73, 98,218.11 and 18,731.61

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Solution

The fourth proportional to 65,478.73, 98,218.11 and 18,731.61 is: 28,097.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,478.73 : 98,218.11 = 18,731.61 : x
  2. Step 2: Convert to fraction form
    65,478.73/98,218.11 = 18,731.61/x
  3. Step 3: Cross multiply
    65,478.73x = 98,218.11 × 18,731.61
  4. Step 4: Simplify right side
    65,478.73x = 1,839,783,331.46
  5. Step 5: Solve for x
    x = 1,839,783,331.46/65,478.73
  6. Step 6: Final answer
    x = 28,097.42

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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.