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Finding the Fourth Proportional to 84,460, 126,690 and 31,857.19

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Solution

The fourth proportional to 84,460, 126,690 and 31,857.19 is: 47,785.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,460 : 126,690 = 31,857.19 : x
  2. Step 2: Convert to fraction form
    84,460/126,690 = 31,857.19/x
  3. Step 3: Cross multiply
    84,460x = 126,690 × 31,857.19
  4. Step 4: Simplify right side
    84,460x = 4,035,987,401.10
  5. Step 5: Solve for x
    x = 4,035,987,401.10/84,460
  6. Step 6: Final answer
    x = 47,785.79

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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.