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Finding the Fourth Proportional to 189,679.38, 284,535.47 and 49,438

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Solution

The fourth proportional to 189,679.38, 284,535.47 and 49,438 is: 74,161.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,679.38 : 284,535.47 = 49,438 : x
  2. Step 2: Convert to fraction form
    189,679.38/284,535.47 = 49,438/x
  3. Step 3: Cross multiply
    189,679.38x = 284,535.47 × 49,438
  4. Step 4: Simplify right side
    189,679.38x = 14,066,864,565.86
  5. Step 5: Solve for x
    x = 14,066,864,565.86/189,679.38
  6. Step 6: Final answer
    x = 74,161.27

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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.