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Finding the Fourth Proportional to 206,303.11, 309,471.06 and 87,975.46

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Solution

The fourth proportional to 206,303.11, 309,471.06 and 87,975.46 is: 131,970.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,303.11 : 309,471.06 = 87,975.46 : x
  2. Step 2: Convert to fraction form
    206,303.11/309,471.06 = 87,975.46/x
  3. Step 3: Cross multiply
    206,303.11x = 309,471.06 × 87,975.46
  4. Step 4: Simplify right side
    206,303.11x = 27,225,858,860.19
  5. Step 5: Solve for x
    x = 27,225,858,860.19/206,303.11
  6. Step 6: Final answer
    x = 131,970.18

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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.