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Finding the Fourth Proportional to 197,663.82, 272,775.71 and 107,019.77

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Solution

The fourth proportional to 197,663.82, 272,775.71 and 107,019.77 is: 147,687.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,663.82 : 272,775.71 = 107,019.77 : x
  2. Step 2: Convert to fraction form
    197,663.82/272,775.71 = 107,019.77/x
  3. Step 3: Cross multiply
    197,663.82x = 272,775.71 × 107,019.77
  4. Step 4: Simplify right side
    197,663.82x = 29,192,395,101.50
  5. Step 5: Solve for x
    x = 29,192,395,101.50/197,663.82
  6. Step 6: Final answer
    x = 147,687.09

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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.