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Finding the Fourth Proportional to 231,684.74, 347,555.72 and 81,894.14

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Solution

The fourth proportional to 231,684.74, 347,555.72 and 81,894.14 is: 122,851.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,684.74 : 347,555.72 = 81,894.14 : x
  2. Step 2: Convert to fraction form
    231,684.74/347,555.72 = 81,894.14/x
  3. Step 3: Cross multiply
    231,684.74x = 347,555.72 × 81,894.14
  4. Step 4: Simplify right side
    231,684.74x = 28,462,776,791.48
  5. Step 5: Solve for x
    x = 28,462,776,791.48/231,684.74
  6. Step 6: Final answer
    x = 122,851.32

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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.