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Finding the Fourth Proportional to 57,313.40, 85,970.10 and 54,251.60

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Solution

The fourth proportional to 57,313.40, 85,970.10 and 54,251.60 is: 81,377.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,313.40 : 85,970.10 = 54,251.60 : x
  2. Step 2: Convert to fraction form
    57,313.40/85,970.10 = 54,251.60/x
  3. Step 3: Cross multiply
    57,313.40x = 85,970.10 × 54,251.60
  4. Step 4: Simplify right side
    57,313.40x = 4,664,015,477.16
  5. Step 5: Solve for x
    x = 4,664,015,477.16/57,313.40
  6. Step 6: Final answer
    x = 81,377.40

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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.