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Finding the Fourth Proportional to 151,691.92, 227,511.96 and 40,858

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Solution

The fourth proportional to 151,691.92, 227,511.96 and 40,858 is: 61,280.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,691.92 : 227,511.96 = 40,858 : x
  2. Step 2: Convert to fraction form
    151,691.92/227,511.96 = 40,858/x
  3. Step 3: Cross multiply
    151,691.92x = 227,511.96 × 40,858
  4. Step 4: Simplify right side
    151,691.92x = 9,295,683,661.68
  5. Step 5: Solve for x
    x = 9,295,683,661.68/151,691.92
  6. Step 6: Final answer
    x = 61,280.02

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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.