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Finding the Fourth Proportional to 78,383.25, 108,199.89 and 54,523.77

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Solution

The fourth proportional to 78,383.25, 108,199.89 and 54,523.77 is: 75,264.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,383.25 : 108,199.89 = 54,523.77 : x
  2. Step 2: Convert to fraction form
    78,383.25/108,199.89 = 54,523.77/x
  3. Step 3: Cross multiply
    78,383.25x = 108,199.89 × 54,523.77
  4. Step 4: Simplify right side
    78,383.25x = 5,899,465,916.39
  5. Step 5: Solve for x
    x = 5,899,465,916.39/78,383.25
  6. Step 6: Final answer
    x = 75,264.37

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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.