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Finding the Fourth Proportional to 75,743, 113,080.29 and 57,879.32

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Solution

The fourth proportional to 75,743, 113,080.29 and 57,879.32 is: 86,410.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,743 : 113,080.29 = 57,879.32 : x
  2. Step 2: Convert to fraction form
    75,743/113,080.29 = 57,879.32/x
  3. Step 3: Cross multiply
    75,743x = 113,080.29 × 57,879.32
  4. Step 4: Simplify right side
    75,743x = 6,545,010,290.60
  5. Step 5: Solve for x
    x = 6,545,010,290.60/75,743
  6. Step 6: Final answer
    x = 86,410.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.