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Finding the Fourth Proportional to 64,979.73, 97,414.92 and 31,682.66

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Solution

The fourth proportional to 64,979.73, 97,414.92 and 31,682.66 is: 47,497.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,979.73 : 97,414.92 = 31,682.66 : x
  2. Step 2: Convert to fraction form
    64,979.73/97,414.92 = 31,682.66/x
  3. Step 3: Cross multiply
    64,979.73x = 97,414.92 × 31,682.66
  4. Step 4: Simplify right side
    64,979.73x = 3,086,363,302.21
  5. Step 5: Solve for x
    x = 3,086,363,302.21/64,979.73
  6. Step 6: Final answer
    x = 47,497.32

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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.