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Finding the Fourth Proportional to 90,435, 135,652.50 and 35,031

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Solution

The fourth proportional to 90,435, 135,652.50 and 35,031 is: 52,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,435 : 135,652.50 = 35,031 : x
  2. Step 2: Convert to fraction form
    90,435/135,652.50 = 35,031/x
  3. Step 3: Cross multiply
    90,435x = 135,652.50 × 35,031
  4. Step 4: Simplify right side
    90,435x = 4,752,042,727.50
  5. Step 5: Solve for x
    x = 4,752,042,727.50/90,435
  6. Step 6: Final answer
    x = 52,546.50

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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.