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Finding the Fourth Proportional to 49,447.68, 68,243.52 and 28,230

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Solution

The fourth proportional to 49,447.68, 68,243.52 and 28,230 is: 38,960.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,447.68 : 68,243.52 = 28,230 : x
  2. Step 2: Convert to fraction form
    49,447.68/68,243.52 = 28,230/x
  3. Step 3: Cross multiply
    49,447.68x = 68,243.52 × 28,230
  4. Step 4: Simplify right side
    49,447.68x = 1,926,514,569.60
  5. Step 5: Solve for x
    x = 1,926,514,569.60/49,447.68
  6. Step 6: Final answer
    x = 38,960.67

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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.