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Finding the Fourth Proportional to 75,315.42, 103,935.33 and 41,781.42

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Solution

The fourth proportional to 75,315.42, 103,935.33 and 41,781.42 is: 57,658.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,315.42 : 103,935.33 = 41,781.42 : x
  2. Step 2: Convert to fraction form
    75,315.42/103,935.33 = 41,781.42/x
  3. Step 3: Cross multiply
    75,315.42x = 103,935.33 × 41,781.42
  4. Step 4: Simplify right side
    75,315.42x = 4,342,565,675.57
  5. Step 5: Solve for x
    x = 4,342,565,675.57/75,315.42
  6. Step 6: Final answer
    x = 57,658.39

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