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Finding the Fourth Proportional to 230,045.67, 344,951.80 and 105,279.75

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Solution

The fourth proportional to 230,045.67, 344,951.80 and 105,279.75 is: 157,866.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,045.67 : 344,951.80 = 105,279.75 : x
  2. Step 2: Convert to fraction form
    230,045.67/344,951.80 = 105,279.75/x
  3. Step 3: Cross multiply
    230,045.67x = 344,951.80 × 105,279.75
  4. Step 4: Simplify right side
    230,045.67x = 36,316,439,002.85
  5. Step 5: Solve for x
    x = 36,316,439,002.85/230,045.67
  6. Step 6: Final answer
    x = 157,866.21

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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.