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Finding the Fourth Proportional to 73,263.78, 109,782 and 50,818.28

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Solution

The fourth proportional to 73,263.78, 109,782 and 50,818.28 is: 76,148.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,263.78 : 109,782 = 50,818.28 : x
  2. Step 2: Convert to fraction form
    73,263.78/109,782 = 50,818.28/x
  3. Step 3: Cross multiply
    73,263.78x = 109,782 × 50,818.28
  4. Step 4: Simplify right side
    73,263.78x = 5,578,931,866.05
  5. Step 5: Solve for x
    x = 5,578,931,866.05/73,263.78
  6. Step 6: Final answer
    x = 76,148.57

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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.