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Finding the Fourth Proportional to 276,158.21, 414,242.46 and 86,614.38

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Solution

The fourth proportional to 276,158.21, 414,242.46 and 86,614.38 is: 129,923.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,158.21 : 414,242.46 = 86,614.38 : x
  2. Step 2: Convert to fraction form
    276,158.21/414,242.46 = 86,614.38/x
  3. Step 3: Cross multiply
    276,158.21x = 414,242.46 × 86,614.38
  4. Step 4: Simplify right side
    276,158.21x = 35,879,353,842.57
  5. Step 5: Solve for x
    x = 35,879,353,842.57/276,158.21
  6. Step 6: Final answer
    x = 129,923.19

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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.