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Finding the Fourth Proportional to 213,878.92, 320,793.74 and 56,119.68

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Solution

The fourth proportional to 213,878.92, 320,793.74 and 56,119.68 is: 84,173.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,878.92 : 320,793.74 = 56,119.68 : x
  2. Step 2: Convert to fraction form
    213,878.92/320,793.74 = 56,119.68/x
  3. Step 3: Cross multiply
    213,878.92x = 320,793.74 × 56,119.68
  4. Step 4: Simplify right side
    213,878.92x = 18,002,842,034.80
  5. Step 5: Solve for x
    x = 18,002,842,034.80/213,878.92
  6. Step 6: Final answer
    x = 84,173.05

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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.