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Finding the Fourth Proportional to 197,915, 273,123.66 and 118,427

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Solution

The fourth proportional to 197,915, 273,123.66 and 118,427 is: 163,429.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,915 : 273,123.66 = 118,427 : x
  2. Step 2: Convert to fraction form
    197,915/273,123.66 = 118,427/x
  3. Step 3: Cross multiply
    197,915x = 273,123.66 × 118,427
  4. Step 4: Simplify right side
    197,915x = 32,345,215,682.82
  5. Step 5: Solve for x
    x = 32,345,215,682.82/197,915
  6. Step 6: Final answer
    x = 163,429.83

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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.