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Finding the Fourth Proportional to 84,218.76, 126,322.74 and 31,623.72

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Solution

The fourth proportional to 84,218.76, 126,322.74 and 31,623.72 is: 47,433.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,218.76 : 126,322.74 = 31,623.72 : x
  2. Step 2: Convert to fraction form
    84,218.76/126,322.74 = 31,623.72/x
  3. Step 3: Cross multiply
    84,218.76x = 126,322.74 × 31,623.72
  4. Step 4: Simplify right side
    84,218.76x = 3,994,794,959.39
  5. Step 5: Solve for x
    x = 3,994,794,959.39/84,218.76
  6. Step 6: Final answer
    x = 47,433.55

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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.