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Finding the Fourth Proportional to 119,540.40, 164,859.11 and 85,017.39

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Solution

The fourth proportional to 119,540.40, 164,859.11 and 85,017.39 is: 117,248.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,540.40 : 164,859.11 = 85,017.39 : x
  2. Step 2: Convert to fraction form
    119,540.40/164,859.11 = 85,017.39/x
  3. Step 3: Cross multiply
    119,540.40x = 164,859.11 × 85,017.39
  4. Step 4: Simplify right side
    119,540.40x = 14,015,891,249.92
  5. Step 5: Solve for x
    x = 14,015,891,249.92/119,540.40
  6. Step 6: Final answer
    x = 117,248.15

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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.