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Finding the Fourth Proportional to 81,031.02, 111,829 and 44,739.46

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Solution

The fourth proportional to 81,031.02, 111,829 and 44,739.46 is: 61,743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,031.02 : 111,829 = 44,739.46 : x
  2. Step 2: Convert to fraction form
    81,031.02/111,829 = 44,739.46/x
  3. Step 3: Cross multiply
    81,031.02x = 111,829 × 44,739.46
  4. Step 4: Simplify right side
    81,031.02x = 5,003,169,072.34
  5. Step 5: Solve for x
    x = 5,003,169,072.34/81,031.02
  6. Step 6: Final answer
    x = 61,743.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.