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Finding the Fourth Proportional to 189,657.95, 284,527.89 and 100,898.55

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Solution

The fourth proportional to 189,657.95, 284,527.89 and 100,898.55 is: 151,369.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,657.95 : 284,527.89 = 100,898.55 : x
  2. Step 2: Convert to fraction form
    189,657.95/284,527.89 = 100,898.55/x
  3. Step 3: Cross multiply
    189,657.95x = 284,527.89 × 100,898.55
  4. Step 4: Simplify right side
    189,657.95x = 28,708,451,535.56
  5. Step 5: Solve for x
    x = 28,708,451,535.56/189,657.95
  6. Step 6: Final answer
    x = 151,369.62

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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.