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Finding the Fourth Proportional to 75,341.20, 103,977 and 41,818

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Solution

The fourth proportional to 75,341.20, 103,977 and 41,818 is: 57,712.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,341.20 : 103,977 = 41,818 : x
  2. Step 2: Convert to fraction form
    75,341.20/103,977 = 41,818/x
  3. Step 3: Cross multiply
    75,341.20x = 103,977 × 41,818
  4. Step 4: Simplify right side
    75,341.20x = 4,348,110,186
  5. Step 5: Solve for x
    x = 4,348,110,186/75,341.20
  6. Step 6: Final answer
    x = 57,712.25

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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.