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Finding the Fourth Proportional to 109,471.80, 164,207.70 and 100,614.45

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Solution

The fourth proportional to 109,471.80, 164,207.70 and 100,614.45 is: 150,921.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,471.80 : 164,207.70 = 100,614.45 : x
  2. Step 2: Convert to fraction form
    109,471.80/164,207.70 = 100,614.45/x
  3. Step 3: Cross multiply
    109,471.80x = 164,207.70 × 100,614.45
  4. Step 4: Simplify right side
    109,471.80x = 16,521,667,421.27
  5. Step 5: Solve for x
    x = 16,521,667,421.27/109,471.80
  6. Step 6: Final answer
    x = 150,921.68

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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.