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Finding the Fourth Proportional to 109,873.70, 164,810.55 and 90,190.70

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Solution

The fourth proportional to 109,873.70, 164,810.55 and 90,190.70 is: 135,286.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,873.70 : 164,810.55 = 90,190.70 : x
  2. Step 2: Convert to fraction form
    109,873.70/164,810.55 = 90,190.70/x
  3. Step 3: Cross multiply
    109,873.70x = 164,810.55 × 90,190.70
  4. Step 4: Simplify right side
    109,873.70x = 14,864,378,871.89
  5. Step 5: Solve for x
    x = 14,864,378,871.89/109,873.70
  6. Step 6: Final answer
    x = 135,286.05

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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.