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Finding the Fourth Proportional to 100,139.74, 150,155.73 and 40,138.10

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Solution

The fourth proportional to 100,139.74, 150,155.73 and 40,138.10 is: 60,185.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,139.74 : 150,155.73 = 40,138.10 : x
  2. Step 2: Convert to fraction form
    100,139.74/150,155.73 = 40,138.10/x
  3. Step 3: Cross multiply
    100,139.74x = 150,155.73 × 40,138.10
  4. Step 4: Simplify right side
    100,139.74x = 6,026,965,706.31
  5. Step 5: Solve for x
    x = 6,026,965,706.31/100,139.74
  6. Step 6: Final answer
    x = 60,185.55

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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.