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Finding the Fourth Proportional to 197,778, 272,934.96 and 107,133.97

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Solution

The fourth proportional to 197,778, 272,934.96 and 107,133.97 is: 147,845.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,778 : 272,934.96 = 107,133.97 : x
  2. Step 2: Convert to fraction form
    197,778/272,934.96 = 107,133.97/x
  3. Step 3: Cross multiply
    197,778x = 272,934.96 × 107,133.97
  4. Step 4: Simplify right side
    197,778x = 29,240,605,816.59
  5. Step 5: Solve for x
    x = 29,240,605,816.59/197,778
  6. Step 6: Final answer
    x = 147,845.59

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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.