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Finding the Fourth Proportional to 231,421.70, 347,007.72 and 104,992.95

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Solution

The fourth proportional to 231,421.70, 347,007.72 and 104,992.95 is: 157,432.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,421.70 : 347,007.72 = 104,992.95 : x
  2. Step 2: Convert to fraction form
    231,421.70/347,007.72 = 104,992.95/x
  3. Step 3: Cross multiply
    231,421.70x = 347,007.72 × 104,992.95
  4. Step 4: Simplify right side
    231,421.70x = 36,433,365,890.58
  5. Step 5: Solve for x
    x = 36,433,365,890.58/231,421.70
  6. Step 6: Final answer
    x = 157,432.80

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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.