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Finding the Fourth Proportional to 57,856.32, 86,784.48 and 54,901.44

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Solution

The fourth proportional to 57,856.32, 86,784.48 and 54,901.44 is: 82,352.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,856.32 : 86,784.48 = 54,901.44 : x
  2. Step 2: Convert to fraction form
    57,856.32/86,784.48 = 54,901.44/x
  3. Step 3: Cross multiply
    57,856.32x = 86,784.48 × 54,901.44
  4. Step 4: Simplify right side
    57,856.32x = 4,764,592,921.65
  5. Step 5: Solve for x
    x = 4,764,592,921.65/57,856.32
  6. Step 6: Final answer
    x = 82,352.16

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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.