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Finding the Fourth Proportional to 90,203.82, 135,305.70 and 56,974.38

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Solution

The fourth proportional to 90,203.82, 135,305.70 and 56,974.38 is: 85,461.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,203.82 : 135,305.70 = 56,974.38 : x
  2. Step 2: Convert to fraction form
    90,203.82/135,305.70 = 56,974.38/x
  3. Step 3: Cross multiply
    90,203.82x = 135,305.70 × 56,974.38
  4. Step 4: Simplify right side
    90,203.82x = 7,708,958,367.97
  5. Step 5: Solve for x
    x = 7,708,958,367.97/90,203.82
  6. Step 6: Final answer
    x = 85,461.55

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1.5x scale

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.