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Finding the Fourth Proportional to 101,408.31, 152,112.72 and 41,436.78

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Solution

The fourth proportional to 101,408.31, 152,112.72 and 41,436.78 is: 62,155.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,408.31 : 152,112.72 = 41,436.78 : x
  2. Step 2: Convert to fraction form
    101,408.31/152,112.72 = 41,436.78/x
  3. Step 3: Cross multiply
    101,408.31x = 152,112.72 × 41,436.78
  4. Step 4: Simplify right side
    101,408.31x = 6,303,061,356.13
  5. Step 5: Solve for x
    x = 6,303,061,356.13/101,408.31
  6. Step 6: Final answer
    x = 62,155.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.