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Finding the Fourth Proportional to 131,345.96, 197,310.54 and 81,462.92

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Solution

The fourth proportional to 131,345.96, 197,310.54 and 81,462.92 is: 122,375.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,345.96 : 197,310.54 = 81,462.92 : x
  2. Step 2: Convert to fraction form
    131,345.96/197,310.54 = 81,462.92/x
  3. Step 3: Cross multiply
    131,345.96x = 197,310.54 × 81,462.92
  4. Step 4: Simplify right side
    131,345.96x = 16,073,492,735.18
  5. Step 5: Solve for x
    x = 16,073,492,735.18/131,345.96
  6. Step 6: Final answer
    x = 122,375.24

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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.