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Finding the Fourth Proportional to 147,206, 203,144.32 and 80,138

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Solution

The fourth proportional to 147,206, 203,144.32 and 80,138 is: 110,590.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,206 : 203,144.32 = 80,138 : x
  2. Step 2: Convert to fraction form
    147,206/203,144.32 = 80,138/x
  3. Step 3: Cross multiply
    147,206x = 203,144.32 × 80,138
  4. Step 4: Simplify right side
    147,206x = 16,279,579,516.16
  5. Step 5: Solve for x
    x = 16,279,579,516.16/147,206
  6. Step 6: Final answer
    x = 110,590.46

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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.