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Finding the Fourth Proportional to 75,169.59, 103,730.32 and 41,178.21

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Solution

The fourth proportional to 75,169.59, 103,730.32 and 41,178.21 is: 56,823.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,169.59 : 103,730.32 = 41,178.21 : x
  2. Step 2: Convert to fraction form
    75,169.59/103,730.32 = 41,178.21/x
  3. Step 3: Cross multiply
    75,169.59x = 103,730.32 × 41,178.21
  4. Step 4: Simplify right side
    75,169.59x = 4,271,428,900.33
  5. Step 5: Solve for x
    x = 4,271,428,900.33/75,169.59
  6. Step 6: Final answer
    x = 56,823.90

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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.