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Finding the Fourth Proportional to 230,073.54, 345,145.13 and 72,287.16

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Solution

The fourth proportional to 230,073.54, 345,145.13 and 72,287.16 is: 108,441.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,073.54 : 345,145.13 = 72,287.16 : x
  2. Step 2: Convert to fraction form
    230,073.54/345,145.13 = 72,287.16/x
  3. Step 3: Cross multiply
    230,073.54x = 345,145.13 × 72,287.16
  4. Step 4: Simplify right side
    230,073.54x = 24,949,561,235.53
  5. Step 5: Solve for x
    x = 24,949,561,235.53/230,073.54
  6. Step 6: Final answer
    x = 108,441.68

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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.