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Finding the Fourth Proportional to 75,117.78, 103,661.64 and 41,583.78

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Solution

The fourth proportional to 75,117.78, 103,661.64 and 41,583.78 is: 57,385.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,117.78 : 103,661.64 = 41,583.78 : x
  2. Step 2: Convert to fraction form
    75,117.78/103,661.64 = 41,583.78/x
  3. Step 3: Cross multiply
    75,117.78x = 103,661.64 × 41,583.78
  4. Step 4: Simplify right side
    75,117.78x = 4,310,642,832.20
  5. Step 5: Solve for x
    x = 4,310,642,832.20/75,117.78
  6. Step 6: Final answer
    x = 57,385.12

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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.