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Finding the Fourth Proportional to 78,357.12, 108,163.68 and 52,878.48

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Solution

The fourth proportional to 78,357.12, 108,163.68 and 52,878.48 is: 72,993.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,357.12 : 108,163.68 = 52,878.48 : x
  2. Step 2: Convert to fraction form
    78,357.12/108,163.68 = 52,878.48/x
  3. Step 3: Cross multiply
    78,357.12x = 108,163.68 × 52,878.48
  4. Step 4: Simplify right side
    78,357.12x = 5,719,530,989.61
  5. Step 5: Solve for x
    x = 5,719,530,989.61/78,357.12
  6. Step 6: Final answer
    x = 72,993.12

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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.