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Finding the Fourth Proportional to 77,132.80, 106,441.60 and 41,804.80

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Solution

The fourth proportional to 77,132.80, 106,441.60 and 41,804.80 is: 57,689.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,132.80 : 106,441.60 = 41,804.80 : x
  2. Step 2: Convert to fraction form
    77,132.80/106,441.60 = 41,804.80/x
  3. Step 3: Cross multiply
    77,132.80x = 106,441.60 × 41,804.80
  4. Step 4: Simplify right side
    77,132.80x = 4,449,769,799.68
  5. Step 5: Solve for x
    x = 4,449,769,799.68/77,132.80
  6. Step 6: Final answer
    x = 57,689.72

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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.