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Finding the Fourth Proportional to 189,659.45, 284,530.14 and 100,900.05

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Solution

The fourth proportional to 189,659.45, 284,530.14 and 100,900.05 is: 151,371.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,659.45 : 284,530.14 = 100,900.05 : x
  2. Step 2: Convert to fraction form
    189,659.45/284,530.14 = 100,900.05/x
  3. Step 3: Cross multiply
    189,659.45x = 284,530.14 × 100,900.05
  4. Step 4: Simplify right side
    189,659.45x = 28,709,105,352.51
  5. Step 5: Solve for x
    x = 28,709,105,352.51/189,659.45
  6. Step 6: Final answer
    x = 151,371.87

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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.