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Finding the Fourth Proportional to 189,759.60, 284,420.28 and 71,355.42

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Solution

The fourth proportional to 189,759.60, 284,420.28 and 71,355.42 is: 106,950.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,759.60 : 284,420.28 = 71,355.42 : x
  2. Step 2: Convert to fraction form
    189,759.60/284,420.28 = 71,355.42/x
  3. Step 3: Cross multiply
    189,759.60x = 284,420.28 × 71,355.42
  4. Step 4: Simplify right side
    189,759.60x = 20,294,928,535.92
  5. Step 5: Solve for x
    x = 20,294,928,535.92/189,759.60
  6. Step 6: Final answer
    x = 106,950.73

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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.