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Finding the Fourth Proportional to 57,228.94, 85,842.56 and 13,952.05

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Solution

The fourth proportional to 57,228.94, 85,842.56 and 13,952.05 is: 20,927.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,228.94 : 85,842.56 = 13,952.05 : x
  2. Step 2: Convert to fraction form
    57,228.94/85,842.56 = 13,952.05/x
  3. Step 3: Cross multiply
    57,228.94x = 85,842.56 × 13,952.05
  4. Step 4: Simplify right side
    57,228.94x = 1,197,679,619.49
  5. Step 5: Solve for x
    x = 1,197,679,619.49/57,228.94
  6. Step 6: Final answer
    x = 20,927.87

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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.