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Finding the Fourth Proportional to 231,681.79, 347,551.31 and 81,891.19

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Solution

The fourth proportional to 231,681.79, 347,551.31 and 81,891.19 is: 122,846.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,681.79 : 347,551.31 = 81,891.19 : x
  2. Step 2: Convert to fraction form
    231,681.79/347,551.31 = 81,891.19/x
  3. Step 3: Cross multiply
    231,681.79x = 347,551.31 × 81,891.19
  4. Step 4: Simplify right side
    231,681.79x = 28,461,390,361.96
  5. Step 5: Solve for x
    x = 28,461,390,361.96/231,681.79
  6. Step 6: Final answer
    x = 122,846.90

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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.