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Finding the Fourth Proportional to 228,956.59, 315,919.37 and 138,251.80

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Solution

The fourth proportional to 228,956.59, 315,919.37 and 138,251.80 is: 190,762.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,956.59 : 315,919.37 = 138,251.80 : x
  2. Step 2: Convert to fraction form
    228,956.59/315,919.37 = 138,251.80/x
  3. Step 3: Cross multiply
    228,956.59x = 315,919.37 × 138,251.80
  4. Step 4: Simplify right side
    228,956.59x = 43,676,419,286.51
  5. Step 5: Solve for x
    x = 43,676,419,286.51/228,956.59
  6. Step 6: Final answer
    x = 190,762.89

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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.