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Finding the Fourth Proportional to 56,107.80, 84,121.20 and 22,811.40

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Solution

The fourth proportional to 56,107.80, 84,121.20 and 22,811.40 is: 34,200.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,107.80 : 84,121.20 = 22,811.40 : x
  2. Step 2: Convert to fraction form
    56,107.80/84,121.20 = 22,811.40/x
  3. Step 3: Cross multiply
    56,107.80x = 84,121.20 × 22,811.40
  4. Step 4: Simplify right side
    56,107.80x = 1,918,922,341.68
  5. Step 5: Solve for x
    x = 1,918,922,341.68/56,107.80
  6. Step 6: Final answer
    x = 34,200.63

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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.