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Finding the Fourth Proportional to 109,404.84, 150,920.81 and 75,354.76

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Solution

The fourth proportional to 109,404.84, 150,920.81 and 75,354.76 is: 103,949.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,404.84 : 150,920.81 = 75,354.76 : x
  2. Step 2: Convert to fraction form
    109,404.84/150,920.81 = 75,354.76/x
  3. Step 3: Cross multiply
    109,404.84x = 150,920.81 × 75,354.76
  4. Step 4: Simplify right side
    109,404.84x = 11,372,601,604.94
  5. Step 5: Solve for x
    x = 11,372,601,604.94/109,404.84
  6. Step 6: Final answer
    x = 103,949.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.