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Finding the Fourth Proportional to 75,855.42, 104,686.41 and 41,870.65

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Solution

The fourth proportional to 75,855.42, 104,686.41 and 41,870.65 is: 57,784.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,855.42 : 104,686.41 = 41,870.65 : x
  2. Step 2: Convert to fraction form
    75,855.42/104,686.41 = 41,870.65/x
  3. Step 3: Cross multiply
    75,855.42x = 104,686.41 × 41,870.65
  4. Step 4: Simplify right side
    75,855.42x = 4,383,288,032.87
  5. Step 5: Solve for x
    x = 4,383,288,032.87/75,855.42
  6. Step 6: Final answer
    x = 57,784.77

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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.