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Finding the Fourth Proportional to 75,162.84, 112,744.18 and 30,789.67

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Solution

The fourth proportional to 75,162.84, 112,744.18 and 30,789.67 is: 46,184.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,162.84 : 112,744.18 = 30,789.67 : x
  2. Step 2: Convert to fraction form
    75,162.84/112,744.18 = 30,789.67/x
  3. Step 3: Cross multiply
    75,162.84x = 112,744.18 × 30,789.67
  4. Step 4: Simplify right side
    75,162.84x = 3,471,356,096.62
  5. Step 5: Solve for x
    x = 3,471,356,096.62/75,162.84
  6. Step 6: Final answer
    x = 46,184.47

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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.