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Finding the Fourth Proportional to 74,001.80, 111,002.10 and 31,911.64

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Solution

The fourth proportional to 74,001.80, 111,002.10 and 31,911.64 is: 47,867.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,001.80 : 111,002.10 = 31,911.64 : x
  2. Step 2: Convert to fraction form
    74,001.80/111,002.10 = 31,911.64/x
  3. Step 3: Cross multiply
    74,001.80x = 111,002.10 × 31,911.64
  4. Step 4: Simplify right side
    74,001.80x = 3,542,259,054.44
  5. Step 5: Solve for x
    x = 3,542,259,054.44/74,001.80
  6. Step 6: Final answer
    x = 47,867.20

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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.