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Finding the Fourth Proportional to 231,859.40, 347,904.30 and 91,622.60

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Solution

The fourth proportional to 231,859.40, 347,904.30 and 91,622.60 is: 137,479.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,859.40 : 347,904.30 = 91,622.60 : x
  2. Step 2: Convert to fraction form
    231,859.40/347,904.30 = 91,622.60/x
  3. Step 3: Cross multiply
    231,859.40x = 347,904.30 × 91,622.60
  4. Step 4: Simplify right side
    231,859.40x = 31,875,896,517.18
  5. Step 5: Solve for x
    x = 31,875,896,517.18/231,859.40
  6. Step 6: Final answer
    x = 137,479.42

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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.