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Finding the Fourth Proportional to 81,325.29, 121,894.32 and 31,383.30

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Solution

The fourth proportional to 81,325.29, 121,894.32 and 31,383.30 is: 47,038.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,325.29 : 121,894.32 = 31,383.30 : x
  2. Step 2: Convert to fraction form
    81,325.29/121,894.32 = 31,383.30/x
  3. Step 3: Cross multiply
    81,325.29x = 121,894.32 × 31,383.30
  4. Step 4: Simplify right side
    81,325.29x = 3,825,446,012.86
  5. Step 5: Solve for x
    x = 3,825,446,012.86/81,325.29
  6. Step 6: Final answer
    x = 47,038.82

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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.