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Finding the Fourth Proportional to 72,877.96, 109,201.80 and 55,024.12

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Solution

The fourth proportional to 72,877.96, 109,201.80 and 55,024.12 is: 82,449.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,877.96 : 109,201.80 = 55,024.12 : x
  2. Step 2: Convert to fraction form
    72,877.96/109,201.80 = 55,024.12/x
  3. Step 3: Cross multiply
    72,877.96x = 109,201.80 × 55,024.12
  4. Step 4: Simplify right side
    72,877.96x = 6,008,732,947.42
  5. Step 5: Solve for x
    x = 6,008,732,947.42/72,877.96
  6. Step 6: Final answer
    x = 82,449.25

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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.