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Finding the Fourth Proportional to 200,040.12, 299,904.42 and 100,148.84

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Solution

The fourth proportional to 200,040.12, 299,904.42 and 100,148.84 is: 150,145.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,040.12 : 299,904.42 = 100,148.84 : x
  2. Step 2: Convert to fraction form
    200,040.12/299,904.42 = 100,148.84/x
  3. Step 3: Cross multiply
    200,040.12x = 299,904.42 × 100,148.84
  4. Step 4: Simplify right side
    200,040.12x = 30,035,079,773.87
  5. Step 5: Solve for x
    x = 30,035,079,773.87/200,040.12
  6. Step 6: Final answer
    x = 150,145.28

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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.