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Finding the Fourth Proportional to 78,378.75, 108,163.86 and 42,568.77

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Solution

The fourth proportional to 78,378.75, 108,163.86 and 42,568.77 is: 58,745.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,378.75 : 108,163.86 = 42,568.77 : x
  2. Step 2: Convert to fraction form
    78,378.75/108,163.86 = 42,568.77/x
  3. Step 3: Cross multiply
    78,378.75x = 108,163.86 × 42,568.77
  4. Step 4: Simplify right side
    78,378.75x = 4,604,402,478.65
  5. Step 5: Solve for x
    x = 4,604,402,478.65/78,378.75
  6. Step 6: Final answer
    x = 58,745.55

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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.