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Finding the Fourth Proportional to 191,745.92, 287,682.66 and 85,115.09

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Solution

The fourth proportional to 191,745.92, 287,682.66 and 85,115.09 is: 127,700.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,745.92 : 287,682.66 = 85,115.09 : x
  2. Step 2: Convert to fraction form
    191,745.92/287,682.66 = 85,115.09/x
  3. Step 3: Cross multiply
    191,745.92x = 287,682.66 × 85,115.09
  4. Step 4: Simplify right side
    191,745.92x = 24,486,134,058.93
  5. Step 5: Solve for x
    x = 24,486,134,058.93/191,745.92
  6. Step 6: Final answer
    x = 127,700.94

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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.