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Finding the Fourth Proportional to 191,065.73, 286,601.31 and 72,743.54

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Solution

The fourth proportional to 191,065.73, 286,601.31 and 72,743.54 is: 109,116.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,065.73 : 286,601.31 = 72,743.54 : x
  2. Step 2: Convert to fraction form
    191,065.73/286,601.31 = 72,743.54/x
  3. Step 3: Cross multiply
    191,065.73x = 286,601.31 × 72,743.54
  4. Step 4: Simplify right side
    191,065.73x = 20,848,392,425.03
  5. Step 5: Solve for x
    x = 20,848,392,425.03/191,065.73
  6. Step 6: Final answer
    x = 109,116.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.