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Finding the Fourth Proportional to 231,493.55, 347,169.65 and 81,698.90

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Solution

The fourth proportional to 231,493.55, 347,169.65 and 81,698.90 is: 122,523.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,493.55 : 347,169.65 = 81,698.90 : x
  2. Step 2: Convert to fraction form
    231,493.55/347,169.65 = 81,698.90/x
  3. Step 3: Cross multiply
    231,493.55x = 347,169.65 × 81,698.90
  4. Step 4: Simplify right side
    231,493.55x = 28,363,376,374.04
  5. Step 5: Solve for x
    x = 28,363,376,374.04/231,493.55
  6. Step 6: Final answer
    x = 122,523.40

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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.