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Finding the Fourth Proportional to 73,306.50, 110,509.06 and 68,424

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Solution

The fourth proportional to 73,306.50, 110,509.06 and 68,424 is: 103,148.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,306.50 : 110,509.06 = 68,424 : x
  2. Step 2: Convert to fraction form
    73,306.50/110,509.06 = 68,424/x
  3. Step 3: Cross multiply
    73,306.50x = 110,509.06 × 68,424
  4. Step 4: Simplify right side
    73,306.50x = 7,561,471,921.44
  5. Step 5: Solve for x
    x = 7,561,471,921.44/73,306.50
  6. Step 6: Final answer
    x = 103,148.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.