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Finding the Fourth Proportional to 189,535.87, 284,371.41 and 81,419.80

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Solution

The fourth proportional to 189,535.87, 284,371.41 and 81,419.80 is: 122,158.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,535.87 : 284,371.41 = 81,419.80 : x
  2. Step 2: Convert to fraction form
    189,535.87/284,371.41 = 81,419.80/x
  3. Step 3: Cross multiply
    189,535.87x = 284,371.41 × 81,419.80
  4. Step 4: Simplify right side
    189,535.87x = 23,153,462,997.52
  5. Step 5: Solve for x
    x = 23,153,462,997.52/189,535.87
  6. Step 6: Final answer
    x = 122,158.74

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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.