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Finding the Fourth Proportional to 231,878.20, 347,687.70 and 98,735.80

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Solution

The fourth proportional to 231,878.20, 347,687.70 and 98,735.80 is: 148,048.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,878.20 : 347,687.70 = 98,735.80 : x
  2. Step 2: Convert to fraction form
    231,878.20/347,687.70 = 98,735.80/x
  3. Step 3: Cross multiply
    231,878.20x = 347,687.70 × 98,735.80
  4. Step 4: Simplify right side
    231,878.20x = 34,329,223,209.66
  5. Step 5: Solve for x
    x = 34,329,223,209.66/231,878.20
  6. Step 6: Final answer
    x = 148,048.52

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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.