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Finding the Fourth Proportional to 75,120.78, 103,665.78 and 41,586.78

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Solution

The fourth proportional to 75,120.78, 103,665.78 and 41,586.78 is: 57,389.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,120.78 : 103,665.78 = 41,586.78 : x
  2. Step 2: Convert to fraction form
    75,120.78/103,665.78 = 41,586.78/x
  3. Step 3: Cross multiply
    75,120.78x = 103,665.78 × 41,586.78
  4. Step 4: Simplify right side
    75,120.78x = 4,311,125,986.39
  5. Step 5: Solve for x
    x = 4,311,125,986.39/75,120.78
  6. Step 6: Final answer
    x = 57,389.26

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1.5x scale

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.