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Finding the Fourth Proportional to 87,402, 131,103.36 and 31,998

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Solution

The fourth proportional to 87,402, 131,103.36 and 31,998 is: 47,997.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,402 : 131,103.36 = 31,998 : x
  2. Step 2: Convert to fraction form
    87,402/131,103.36 = 31,998/x
  3. Step 3: Cross multiply
    87,402x = 131,103.36 × 31,998
  4. Step 4: Simplify right side
    87,402x = 4,195,045,313.28
  5. Step 5: Solve for x
    x = 4,195,045,313.28/87,402
  6. Step 6: Final answer
    x = 47,997.13

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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.