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Finding the Fourth Proportional to 109,958.70, 164,938.05 and 100,117.20

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Solution

The fourth proportional to 109,958.70, 164,938.05 and 100,117.20 is: 150,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,958.70 : 164,938.05 = 100,117.20 : x
  2. Step 2: Convert to fraction form
    109,958.70/164,938.05 = 100,117.20/x
  3. Step 3: Cross multiply
    109,958.70x = 164,938.05 × 100,117.20
  4. Step 4: Simplify right side
    109,958.70x = 16,513,135,739.46
  5. Step 5: Solve for x
    x = 16,513,135,739.46/109,958.70
  6. Step 6: Final answer
    x = 150,175.80

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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.