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Finding the Fourth Proportional to 54,065.92, 81,110.60 and 30,397

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Solution

The fourth proportional to 54,065.92, 81,110.60 and 30,397 is: 45,602.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,065.92 : 81,110.60 = 30,397 : x
  2. Step 2: Convert to fraction form
    54,065.92/81,110.60 = 30,397/x
  3. Step 3: Cross multiply
    54,065.92x = 81,110.60 × 30,397
  4. Step 4: Simplify right side
    54,065.92x = 2,465,518,908.20
  5. Step 5: Solve for x
    x = 2,465,518,908.20/54,065.92
  6. Step 6: Final answer
    x = 45,602.09

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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.