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Finding the Fourth Proportional to 75,859.85, 113,789.78 and 74,875.70

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Solution

The fourth proportional to 75,859.85, 113,789.78 and 74,875.70 is: 112,313.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,859.85 : 113,789.78 = 74,875.70 : x
  2. Step 2: Convert to fraction form
    75,859.85/113,789.78 = 74,875.70/x
  3. Step 3: Cross multiply
    75,859.85x = 113,789.78 × 74,875.70
  4. Step 4: Simplify right side
    75,859.85x = 8,520,089,055.97
  5. Step 5: Solve for x
    x = 8,520,089,055.97/75,859.85
  6. Step 6: Final answer
    x = 112,313.55

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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.