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Finding the Fourth Proportional to 78,396, 108,186.48 and 43,068

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Solution

The fourth proportional to 78,396, 108,186.48 and 43,068 is: 59,433.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,396 : 108,186.48 = 43,068 : x
  2. Step 2: Convert to fraction form
    78,396/108,186.48 = 43,068/x
  3. Step 3: Cross multiply
    78,396x = 108,186.48 × 43,068
  4. Step 4: Simplify right side
    78,396x = 4,659,375,320.64
  5. Step 5: Solve for x
    x = 4,659,375,320.64/78,396
  6. Step 6: Final answer
    x = 59,433.84

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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.