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Finding the Fourth Proportional to 73,912.40, 110,868.60 and 31,812.65

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Solution

The fourth proportional to 73,912.40, 110,868.60 and 31,812.65 is: 47,718.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,912.40 : 110,868.60 = 31,812.65 : x
  2. Step 2: Convert to fraction form
    73,912.40/110,868.60 = 31,812.65/x
  3. Step 3: Cross multiply
    73,912.40x = 110,868.60 × 31,812.65
  4. Step 4: Simplify right side
    73,912.40x = 3,527,023,967.79
  5. Step 5: Solve for x
    x = 3,527,023,967.79/73,912.40
  6. Step 6: Final answer
    x = 47,718.98

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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.