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Finding the Fourth Proportional to 231,617.80, 347,368.38 and 91,377.64

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Solution

The fourth proportional to 231,617.80, 347,368.38 and 91,377.64 is: 137,043.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,617.80 : 347,368.38 = 91,377.64 : x
  2. Step 2: Convert to fraction form
    231,617.80/347,368.38 = 91,377.64/x
  3. Step 3: Cross multiply
    231,617.80x = 347,368.38 × 91,377.64
  4. Step 4: Simplify right side
    231,617.80x = 31,741,702,775.02
  5. Step 5: Solve for x
    x = 31,741,702,775.02/231,617.80
  6. Step 6: Final answer
    x = 137,043.45

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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.