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Finding the Fourth Proportional to 207,401.64, 311,033.26 and 81,009.10

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Solution

The fourth proportional to 207,401.64, 311,033.26 and 81,009.10 is: 121,486.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,401.64 : 311,033.26 = 81,009.10 : x
  2. Step 2: Convert to fraction form
    207,401.64/311,033.26 = 81,009.10/x
  3. Step 3: Cross multiply
    207,401.64x = 311,033.26 × 81,009.10
  4. Step 4: Simplify right side
    207,401.64x = 25,196,522,502.45
  5. Step 5: Solve for x
    x = 25,196,522,502.45/207,401.64
  6. Step 6: Final answer
    x = 121,486.61

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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.