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Finding the Fourth Proportional to 47,550, 65,636.28 and 27,678

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Solution

The fourth proportional to 47,550, 65,636.28 and 27,678 is: 38,205.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,550 : 65,636.28 = 27,678 : x
  2. Step 2: Convert to fraction form
    47,550/65,636.28 = 27,678/x
  3. Step 3: Cross multiply
    47,550x = 65,636.28 × 27,678
  4. Step 4: Simplify right side
    47,550x = 1,816,680,957.84
  5. Step 5: Solve for x
    x = 1,816,680,957.84/47,550
  6. Step 6: Final answer
    x = 38,205.70

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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.