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Finding the Fourth Proportional to 49,429.68, 68,218.68 and 28,212

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Solution

The fourth proportional to 49,429.68, 68,218.68 and 28,212 is: 38,935.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,429.68 : 68,218.68 = 28,212 : x
  2. Step 2: Convert to fraction form
    49,429.68/68,218.68 = 28,212/x
  3. Step 3: Cross multiply
    49,429.68x = 68,218.68 × 28,212
  4. Step 4: Simplify right side
    49,429.68x = 1,924,585,400.16
  5. Step 5: Solve for x
    x = 1,924,585,400.16/49,429.68
  6. Step 6: Final answer
    x = 38,935.83

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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.