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Finding the Fourth Proportional to 237,579, 327,849.42 and 142,138.20

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Solution

The fourth proportional to 237,579, 327,849.42 and 142,138.20 is: 196,144.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,579 : 327,849.42 = 142,138.20 : x
  2. Step 2: Convert to fraction form
    237,579/327,849.42 = 142,138.20/x
  3. Step 3: Cross multiply
    237,579x = 327,849.42 × 142,138.20
  4. Step 4: Simplify right side
    237,579x = 46,599,926,429.84
  5. Step 5: Solve for x
    x = 46,599,926,429.84/237,579
  6. Step 6: Final answer
    x = 196,144.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.