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Finding the Fourth Proportional to 78,408.68, 108,204.39 and 48,213.72

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Solution

The fourth proportional to 78,408.68, 108,204.39 and 48,213.72 is: 66,535.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,408.68 : 108,204.39 = 48,213.72 : x
  2. Step 2: Convert to fraction form
    78,408.68/108,204.39 = 48,213.72/x
  3. Step 3: Cross multiply
    78,408.68x = 108,204.39 × 48,213.72
  4. Step 4: Simplify right side
    78,408.68x = 5,216,936,162.23
  5. Step 5: Solve for x
    x = 5,216,936,162.23/78,408.68
  6. Step 6: Final answer
    x = 66,535.19

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1.5x scale

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.