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Finding the Fourth Proportional to 57,214.60, 85,821.90 and 36,219.40

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Solution

The fourth proportional to 57,214.60, 85,821.90 and 36,219.40 is: 54,329.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,214.60 : 85,821.90 = 36,219.40 : x
  2. Step 2: Convert to fraction form
    57,214.60/85,821.90 = 36,219.40/x
  3. Step 3: Cross multiply
    57,214.60x = 85,821.90 × 36,219.40
  4. Step 4: Simplify right side
    57,214.60x = 3,108,417,724.86
  5. Step 5: Solve for x
    x = 3,108,417,724.86/57,214.60
  6. Step 6: Final answer
    x = 54,329.10

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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.