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Finding the Fourth Proportional to 55,856, 83,799.12 and 18,920

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Solution

The fourth proportional to 55,856, 83,799.12 and 18,920 is: 28,385.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,856 : 83,799.12 = 18,920 : x
  2. Step 2: Convert to fraction form
    55,856/83,799.12 = 18,920/x
  3. Step 3: Cross multiply
    55,856x = 83,799.12 × 18,920
  4. Step 4: Simplify right side
    55,856x = 1,585,479,350.40
  5. Step 5: Solve for x
    x = 1,585,479,350.40/55,856
  6. Step 6: Final answer
    x = 28,385.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.