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Finding the Fourth Proportional to 75,765.81, 113,624.11 and 35,778.61

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Solution

The fourth proportional to 75,765.81, 113,624.11 and 35,778.61 is: 53,656.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,765.81 : 113,624.11 = 35,778.61 : x
  2. Step 2: Convert to fraction form
    75,765.81/113,624.11 = 35,778.61/x
  3. Step 3: Cross multiply
    75,765.81x = 113,624.11 × 35,778.61
  4. Step 4: Simplify right side
    75,765.81x = 4,065,311,971.27
  5. Step 5: Solve for x
    x = 4,065,311,971.27/75,765.81
  6. Step 6: Final answer
    x = 53,656.29

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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.