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Finding the Fourth Proportional to 49,541, 68,364.78 and 28,319

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Solution

The fourth proportional to 49,541, 68,364.78 and 28,319 is: 39,079.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,541 : 68,364.78 = 28,319 : x
  2. Step 2: Convert to fraction form
    49,541/68,364.78 = 28,319/x
  3. Step 3: Cross multiply
    49,541x = 68,364.78 × 28,319
  4. Step 4: Simplify right side
    49,541x = 1,936,022,204.82
  5. Step 5: Solve for x
    x = 1,936,022,204.82/49,541
  6. Step 6: Final answer
    x = 39,079.19

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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.