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Finding the Fourth Proportional to 230,049, 345,128.88 and 72,277.40

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Solution

The fourth proportional to 230,049, 345,128.88 and 72,277.40 is: 108,433.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,049 : 345,128.88 = 72,277.40 : x
  2. Step 2: Convert to fraction form
    230,049/345,128.88 = 72,277.40/x
  3. Step 3: Cross multiply
    230,049x = 345,128.88 × 72,277.40
  4. Step 4: Simplify right side
    230,049x = 24,945,016,385.67
  5. Step 5: Solve for x
    x = 24,945,016,385.67/230,049
  6. Step 6: Final answer
    x = 108,433.49

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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.