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Finding the Fourth Proportional to 89,874.78, 134,812.22 and 30,711.03

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Solution

The fourth proportional to 89,874.78, 134,812.22 and 30,711.03 is: 46,066.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,874.78 : 134,812.22 = 30,711.03 : x
  2. Step 2: Convert to fraction form
    89,874.78/134,812.22 = 30,711.03/x
  3. Step 3: Cross multiply
    89,874.78x = 134,812.22 × 30,711.03
  4. Step 4: Simplify right side
    89,874.78x = 4,140,221,979.23
  5. Step 5: Solve for x
    x = 4,140,221,979.23/89,874.78
  6. Step 6: Final answer
    x = 46,066.56

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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.