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Finding the Fourth Proportional to 197,281, 272,248.74 and 107,857

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Solution

The fourth proportional to 197,281, 272,248.74 and 107,857 is: 148,843.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,281 : 272,248.74 = 107,857 : x
  2. Step 2: Convert to fraction form
    197,281/272,248.74 = 107,857/x
  3. Step 3: Cross multiply
    197,281x = 272,248.74 × 107,857
  4. Step 4: Simplify right side
    197,281x = 29,363,932,350.18
  5. Step 5: Solve for x
    x = 29,363,932,350.18/197,281
  6. Step 6: Final answer
    x = 148,843.18

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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.