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Finding the Fourth Proportional to 106,315.54, 159,528.90 and 100,189.21

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Solution

The fourth proportional to 106,315.54, 159,528.90 and 100,189.21 is: 150,336.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,315.54 : 159,528.90 = 100,189.21 : x
  2. Step 2: Convert to fraction form
    106,315.54/159,528.90 = 100,189.21/x
  3. Step 3: Cross multiply
    106,315.54x = 159,528.90 × 100,189.21
  4. Step 4: Simplify right side
    106,315.54x = 15,983,074,463.17
  5. Step 5: Solve for x
    x = 15,983,074,463.17/106,315.54
  6. Step 6: Final answer
    x = 150,336.20

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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.