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Finding the Fourth Proportional to 75,364.45, 112,960.67 and 30,356.98

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Solution

The fourth proportional to 75,364.45, 112,960.67 and 30,356.98 is: 45,500.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,364.45 : 112,960.67 = 30,356.98 : x
  2. Step 2: Convert to fraction form
    75,364.45/112,960.67 = 30,356.98/x
  3. Step 3: Cross multiply
    75,364.45x = 112,960.67 × 30,356.98
  4. Step 4: Simplify right side
    75,364.45x = 3,429,145,119.82
  5. Step 5: Solve for x
    x = 3,429,145,119.82/75,364.45
  6. Step 6: Final answer
    x = 45,500.83

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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.