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Finding the Fourth Proportional to 84,463.76, 126,564.24 and 31,844.48

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Solution

The fourth proportional to 84,463.76, 126,564.24 and 31,844.48 is: 47,717.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,463.76 : 126,564.24 = 31,844.48 : x
  2. Step 2: Convert to fraction form
    84,463.76/126,564.24 = 31,844.48/x
  3. Step 3: Cross multiply
    84,463.76x = 126,564.24 × 31,844.48
  4. Step 4: Simplify right side
    84,463.76x = 4,030,372,409.40
  5. Step 5: Solve for x
    x = 4,030,372,409.40/84,463.76
  6. Step 6: Final answer
    x = 47,717.18

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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.