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Finding the Fourth Proportional to 229,542.70, 344,314.05 and 139,729.90

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Solution

The fourth proportional to 229,542.70, 344,314.05 and 139,729.90 is: 209,594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,542.70 : 344,314.05 = 139,729.90 : x
  2. Step 2: Convert to fraction form
    229,542.70/344,314.05 = 139,729.90/x
  3. Step 3: Cross multiply
    229,542.70x = 344,314.05 × 139,729.90
  4. Step 4: Simplify right side
    229,542.70x = 48,110,967,775.10
  5. Step 5: Solve for x
    x = 48,110,967,775.10/229,542.70
  6. Step 6: Final answer
    x = 209,594.85

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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.