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Finding the Fourth Proportional to 57,781, 86,671.52 and 16,228

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Solution

The fourth proportional to 57,781, 86,671.52 and 16,228 is: 24,342.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,781 : 86,671.52 = 16,228 : x
  2. Step 2: Convert to fraction form
    57,781/86,671.52 = 16,228/x
  3. Step 3: Cross multiply
    57,781x = 86,671.52 × 16,228
  4. Step 4: Simplify right side
    57,781x = 1,406,505,426.56
  5. Step 5: Solve for x
    x = 1,406,505,426.56/57,781
  6. Step 6: Final answer
    x = 24,342.01

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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.