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Finding the Fourth Proportional to 75,642.44, 113,463.66 and 20,237

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Solution

The fourth proportional to 75,642.44, 113,463.66 and 20,237 is: 30,355.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,642.44 : 113,463.66 = 20,237 : x
  2. Step 2: Convert to fraction form
    75,642.44/113,463.66 = 20,237/x
  3. Step 3: Cross multiply
    75,642.44x = 113,463.66 × 20,237
  4. Step 4: Simplify right side
    75,642.44x = 2,296,164,087.42
  5. Step 5: Solve for x
    x = 2,296,164,087.42/75,642.44
  6. Step 6: Final answer
    x = 30,355.50

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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.