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Finding the Fourth Proportional to 68,230.76, 102,268.38 and 31,217

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Solution

The fourth proportional to 68,230.76, 102,268.38 and 31,217 is: 46,789.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,230.76 : 102,268.38 = 31,217 : x
  2. Step 2: Convert to fraction form
    68,230.76/102,268.38 = 31,217/x
  3. Step 3: Cross multiply
    68,230.76x = 102,268.38 × 31,217
  4. Step 4: Simplify right side
    68,230.76x = 3,192,512,018.46
  5. Step 5: Solve for x
    x = 3,192,512,018.46/68,230.76
  6. Step 6: Final answer
    x = 46,789.92

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1.5x scale

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.