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Finding the Fourth Proportional to 90,138.71, 135,112.73 and 33,954.51

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Solution

The fourth proportional to 90,138.71, 135,112.73 and 33,954.51 is: 50,895.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,138.71 : 135,112.73 = 33,954.51 : x
  2. Step 2: Convert to fraction form
    90,138.71/135,112.73 = 33,954.51/x
  3. Step 3: Cross multiply
    90,138.71x = 135,112.73 × 33,954.51
  4. Step 4: Simplify right side
    90,138.71x = 4,587,686,541.91
  5. Step 5: Solve for x
    x = 4,587,686,541.91/90,138.71
  6. Step 6: Final answer
    x = 50,895.85

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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.