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Finding the Fourth Proportional to 100,154.04, 150,230.94 and 40,209.48

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Solution

The fourth proportional to 100,154.04, 150,230.94 and 40,209.48 is: 60,314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,154.04 : 150,230.94 = 40,209.48 : x
  2. Step 2: Convert to fraction form
    100,154.04/150,230.94 = 40,209.48/x
  3. Step 3: Cross multiply
    100,154.04x = 150,230.94 × 40,209.48
  4. Step 4: Simplify right side
    100,154.04x = 6,040,707,977.31
  5. Step 5: Solve for x
    x = 6,040,707,977.31/100,154.04
  6. Step 6: Final answer
    x = 60,314.17

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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.