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Finding the Fourth Proportional to 74,764.72, 103,149.45 and 47,922.03

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Solution

The fourth proportional to 74,764.72, 103,149.45 and 47,922.03 is: 66,115.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,764.72 : 103,149.45 = 47,922.03 : x
  2. Step 2: Convert to fraction form
    74,764.72/103,149.45 = 47,922.03/x
  3. Step 3: Cross multiply
    74,764.72x = 103,149.45 × 47,922.03
  4. Step 4: Simplify right side
    74,764.72x = 4,943,131,037.38
  5. Step 5: Solve for x
    x = 4,943,131,037.38/74,764.72
  6. Step 6: Final answer
    x = 66,115.82

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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.