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Finding the Fourth Proportional to 231,603.70, 347,433.57 and 81,813.34

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Solution

The fourth proportional to 231,603.70, 347,433.57 and 81,813.34 is: 122,729.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,603.70 : 347,433.57 = 81,813.34 : x
  2. Step 2: Convert to fraction form
    231,603.70/347,433.57 = 81,813.34/x
  3. Step 3: Cross multiply
    231,603.70x = 347,433.57 × 81,813.34
  4. Step 4: Simplify right side
    231,603.70x = 28,424,698,643.59
  5. Step 5: Solve for x
    x = 28,424,698,643.59/231,603.70
  6. Step 6: Final answer
    x = 122,729.90

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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.