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Finding the Fourth Proportional to 231,755.78, 347,762.83 and 125,137.47

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Solution

The fourth proportional to 231,755.78, 347,762.83 and 125,137.47 is: 187,775.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,755.78 : 347,762.83 = 125,137.47 : x
  2. Step 2: Convert to fraction form
    231,755.78/347,762.83 = 125,137.47/x
  3. Step 3: Cross multiply
    231,755.78x = 347,762.83 × 125,137.47
  4. Step 4: Simplify right side
    231,755.78x = 43,518,160,393.40
  5. Step 5: Solve for x
    x = 43,518,160,393.40/231,755.78
  6. Step 6: Final answer
    x = 187,775.95

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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.