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Finding the Fourth Proportional to 84,222, 126,365.85 and 31,635.63

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Solution

The fourth proportional to 84,222, 126,365.85 and 31,635.63 is: 47,465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,222 : 126,365.85 = 31,635.63 : x
  2. Step 2: Convert to fraction form
    84,222/126,365.85 = 31,635.63/x
  3. Step 3: Cross multiply
    84,222x = 126,365.85 × 31,635.63
  4. Step 4: Simplify right side
    84,222x = 3,997,663,275.24
  5. Step 5: Solve for x
    x = 3,997,663,275.24/84,222
  6. Step 6: Final answer
    x = 47,465.78

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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.