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Finding the Fourth Proportional to 54,652.50, 81,978.74 and 21,349.20

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Solution

The fourth proportional to 54,652.50, 81,978.74 and 21,349.20 is: 32,023.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,652.50 : 81,978.74 = 21,349.20 : x
  2. Step 2: Convert to fraction form
    54,652.50/81,978.74 = 21,349.20/x
  3. Step 3: Cross multiply
    54,652.50x = 81,978.74 × 21,349.20
  4. Step 4: Simplify right side
    54,652.50x = 1,750,180,856.79
  5. Step 5: Solve for x
    x = 1,750,180,856.79/54,652.50
  6. Step 6: Final answer
    x = 32,023.80

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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.