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Finding the Fourth Proportional to 75,115.78, 103,660 and 41,124.56

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Solution

The fourth proportional to 75,115.78, 103,660 and 41,124.56 is: 56,752.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,115.78 : 103,660 = 41,124.56 : x
  2. Step 2: Convert to fraction form
    75,115.78/103,660 = 41,124.56/x
  3. Step 3: Cross multiply
    75,115.78x = 103,660 × 41,124.56
  4. Step 4: Simplify right side
    75,115.78x = 4,262,971,889.60
  5. Step 5: Solve for x
    x = 4,262,971,889.60/75,115.78
  6. Step 6: Final answer
    x = 56,752.02

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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.