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Finding the Fourth Proportional to 230,309.70, 345,431.74 and 72,534.04

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Solution

The fourth proportional to 230,309.70, 345,431.74 and 72,534.04 is: 108,790.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,309.70 : 345,431.74 = 72,534.04 : x
  2. Step 2: Convert to fraction form
    230,309.70/345,431.74 = 72,534.04/x
  3. Step 3: Cross multiply
    230,309.70x = 345,431.74 × 72,534.04
  4. Step 4: Simplify right side
    230,309.70x = 25,055,559,646.43
  5. Step 5: Solve for x
    x = 25,055,559,646.43/230,309.70
  6. Step 6: Final answer
    x = 108,790.73

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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.