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Finding the Fourth Proportional to 75,115.80, 103,661.04 and 41,123.72

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Solution

The fourth proportional to 75,115.80, 103,661.04 and 41,123.72 is: 56,751.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,115.80 : 103,661.04 = 41,123.72 : x
  2. Step 2: Convert to fraction form
    75,115.80/103,661.04 = 41,123.72/x
  3. Step 3: Cross multiply
    75,115.80x = 103,661.04 × 41,123.72
  4. Step 4: Simplify right side
    75,115.80x = 4,262,927,583.87
  5. Step 5: Solve for x
    x = 4,262,927,583.87/75,115.80
  6. Step 6: Final answer
    x = 56,751.41

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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.