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Finding the Fourth Proportional to 75,761.66, 113,642.43 and 20,357.66

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Solution

The fourth proportional to 75,761.66, 113,642.43 and 20,357.66 is: 30,536.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,761.66 : 113,642.43 = 20,357.66 : x
  2. Step 2: Convert to fraction form
    75,761.66/113,642.43 = 20,357.66/x
  3. Step 3: Cross multiply
    75,761.66x = 113,642.43 × 20,357.66
  4. Step 4: Simplify right side
    75,761.66x = 2,313,493,951.51
  5. Step 5: Solve for x
    x = 2,313,493,951.51/75,761.66
  6. Step 6: Final answer
    x = 30,536.47

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1.5x scale

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.