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Finding the Fourth Proportional to 147,105, 203,004.90 and 80,037.48

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Solution

The fourth proportional to 147,105, 203,004.90 and 80,037.48 is: 110,451.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,105 : 203,004.90 = 80,037.48 : x
  2. Step 2: Convert to fraction form
    147,105/203,004.90 = 80,037.48/x
  3. Step 3: Cross multiply
    147,105x = 203,004.90 × 80,037.48
  4. Step 4: Simplify right side
    147,105x = 16,248,000,623.65
  5. Step 5: Solve for x
    x = 16,248,000,623.65/147,105
  6. Step 6: Final answer
    x = 110,451.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.