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Finding the Fourth Proportional to 231,333.40, 347,000.10 and 81,742.60

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Solution

The fourth proportional to 231,333.40, 347,000.10 and 81,742.60 is: 122,613.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,333.40 : 347,000.10 = 81,742.60 : x
  2. Step 2: Convert to fraction form
    231,333.40/347,000.10 = 81,742.60/x
  3. Step 3: Cross multiply
    231,333.40x = 347,000.10 × 81,742.60
  4. Step 4: Simplify right side
    231,333.40x = 28,364,690,374.26
  5. Step 5: Solve for x
    x = 28,364,690,374.26/231,333.40
  6. Step 6: Final answer
    x = 122,613.90

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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.