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Finding the Fourth Proportional to 189,047.90, 283,655.22 and 100,279.62

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Solution

The fourth proportional to 189,047.90, 283,655.22 and 100,279.62 is: 150,463.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,047.90 : 283,655.22 = 100,279.62 : x
  2. Step 2: Convert to fraction form
    189,047.90/283,655.22 = 100,279.62/x
  3. Step 3: Cross multiply
    189,047.90x = 283,655.22 × 100,279.62
  4. Step 4: Simplify right side
    189,047.90x = 28,444,837,672.62
  5. Step 5: Solve for x
    x = 28,444,837,672.62/189,047.90
  6. Step 6: Final answer
    x = 150,463.66

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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.