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Finding the Fourth Proportional to 231,475.64, 347,241.24 and 81,685

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Solution

The fourth proportional to 231,475.64, 347,241.24 and 81,685 is: 122,537.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,475.64 : 347,241.24 = 81,685 : x
  2. Step 2: Convert to fraction form
    231,475.64/347,241.24 = 81,685/x
  3. Step 3: Cross multiply
    231,475.64x = 347,241.24 × 81,685
  4. Step 4: Simplify right side
    231,475.64x = 28,364,400,689.40
  5. Step 5: Solve for x
    x = 28,364,400,689.40/231,475.64
  6. Step 6: Final answer
    x = 122,537.30

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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.