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Finding the Fourth Proportional to 230,043.16, 345,099.57 and 72,256.78

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Solution

The fourth proportional to 230,043.16, 345,099.57 and 72,256.78 is: 108,396.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,043.16 : 345,099.57 = 72,256.78 : x
  2. Step 2: Convert to fraction form
    230,043.16/345,099.57 = 72,256.78/x
  3. Step 3: Cross multiply
    230,043.16x = 345,099.57 × 72,256.78
  4. Step 4: Simplify right side
    230,043.16x = 24,935,783,707.58
  5. Step 5: Solve for x
    x = 24,935,783,707.58/230,043.16
  6. Step 6: Final answer
    x = 108,396.11

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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.