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Finding the Fourth Proportional to 199,847.70, 299,115.45 and 155,232.90

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Solution

The fourth proportional to 199,847.70, 299,115.45 and 155,232.90 is: 232,339.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,847.70 : 299,115.45 = 155,232.90 : x
  2. Step 2: Convert to fraction form
    199,847.70/299,115.45 = 155,232.90/x
  3. Step 3: Cross multiply
    199,847.70x = 299,115.45 × 155,232.90
  4. Step 4: Simplify right side
    199,847.70x = 46,432,558,738.31
  5. Step 5: Solve for x
    x = 46,432,558,738.31/199,847.70
  6. Step 6: Final answer
    x = 232,339.72

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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.