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Finding the Fourth Proportional to 231,668.10, 347,502.15 and 81,907.20

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Solution

The fourth proportional to 231,668.10, 347,502.15 and 81,907.20 is: 122,860.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,668.10 : 347,502.15 = 81,907.20 : x
  2. Step 2: Convert to fraction form
    231,668.10/347,502.15 = 81,907.20/x
  3. Step 3: Cross multiply
    231,668.10x = 347,502.15 × 81,907.20
  4. Step 4: Simplify right side
    231,668.10x = 28,462,928,100.48
  5. Step 5: Solve for x
    x = 28,462,928,100.48/231,668.10
  6. Step 6: Final answer
    x = 122,860.80

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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.