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Finding the Fourth Proportional to 230,046.67, 344,953.30 and 105,280.75

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Solution

The fourth proportional to 230,046.67, 344,953.30 and 105,280.75 is: 157,867.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,046.67 : 344,953.30 = 105,280.75 : x
  2. Step 2: Convert to fraction form
    230,046.67/344,953.30 = 105,280.75/x
  3. Step 3: Cross multiply
    230,046.67x = 344,953.30 × 105,280.75
  4. Step 4: Simplify right side
    230,046.67x = 36,316,942,138.98
  5. Step 5: Solve for x
    x = 36,316,942,138.98/230,046.67
  6. Step 6: Final answer
    x = 157,867.72

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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.