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Finding the Fourth Proportional to 128,002.32, 191,984.04 and 49,153.68

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Solution

The fourth proportional to 128,002.32, 191,984.04 and 49,153.68 is: 73,723.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,002.32 : 191,984.04 = 49,153.68 : x
  2. Step 2: Convert to fraction form
    128,002.32/191,984.04 = 49,153.68/x
  3. Step 3: Cross multiply
    128,002.32x = 191,984.04 × 49,153.68
  4. Step 4: Simplify right side
    128,002.32x = 9,436,722,067.27
  5. Step 5: Solve for x
    x = 9,436,722,067.27/128,002.32
  6. Step 6: Final answer
    x = 73,723.05

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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.