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Finding the Fourth Proportional to 55,920.08, 83,894.64 and 20,860

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Solution

The fourth proportional to 55,920.08, 83,894.64 and 20,860 is: 31,295.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,920.08 : 83,894.64 = 20,860 : x
  2. Step 2: Convert to fraction form
    55,920.08/83,894.64 = 20,860/x
  3. Step 3: Cross multiply
    55,920.08x = 83,894.64 × 20,860
  4. Step 4: Simplify right side
    55,920.08x = 1,750,042,190.40
  5. Step 5: Solve for x
    x = 1,750,042,190.40/55,920.08
  6. Step 6: Final answer
    x = 31,295.42

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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.