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Finding the Fourth Proportional to 78,408.38, 108,195.75 and 44,410.08

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Solution

The fourth proportional to 78,408.38, 108,195.75 and 44,410.08 is: 61,281.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,408.38 : 108,195.75 = 44,410.08 : x
  2. Step 2: Convert to fraction form
    78,408.38/108,195.75 = 44,410.08/x
  3. Step 3: Cross multiply
    78,408.38x = 108,195.75 × 44,410.08
  4. Step 4: Simplify right side
    78,408.38x = 4,804,981,913.16
  5. Step 5: Solve for x
    x = 4,804,981,913.16/78,408.38
  6. Step 6: Final answer
    x = 61,281.49

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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.