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Finding the Fourth Proportional to 231,480.64, 347,248.74 and 81,690

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Solution

The fourth proportional to 231,480.64, 347,248.74 and 81,690 is: 122,544.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,480.64 : 347,248.74 = 81,690 : x
  2. Step 2: Convert to fraction form
    231,480.64/347,248.74 = 81,690/x
  3. Step 3: Cross multiply
    231,480.64x = 347,248.74 × 81,690
  4. Step 4: Simplify right side
    231,480.64x = 28,366,749,570.60
  5. Step 5: Solve for x
    x = 28,366,749,570.60/231,480.64
  6. Step 6: Final answer
    x = 122,544.80

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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.