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Finding the Fourth Proportional to 188,230.65, 259,758.74 and 103,353.18

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Solution

The fourth proportional to 188,230.65, 259,758.74 and 103,353.18 is: 142,627.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,230.65 : 259,758.74 = 103,353.18 : x
  2. Step 2: Convert to fraction form
    188,230.65/259,758.74 = 103,353.18/x
  3. Step 3: Cross multiply
    188,230.65x = 259,758.74 × 103,353.18
  4. Step 4: Simplify right side
    188,230.65x = 26,846,891,811.79
  5. Step 5: Solve for x
    x = 26,846,891,811.79/188,230.65
  6. Step 6: Final answer
    x = 142,627.63

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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.