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Finding the Fourth Proportional to 231,938.40, 348,022.80 and 91,701.60

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Solution

The fourth proportional to 231,938.40, 348,022.80 and 91,701.60 is: 137,597.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,938.40 : 348,022.80 = 91,701.60 : x
  2. Step 2: Convert to fraction form
    231,938.40/348,022.80 = 91,701.60/x
  3. Step 3: Cross multiply
    231,938.40x = 348,022.80 × 91,701.60
  4. Step 4: Simplify right side
    231,938.40x = 31,914,247,596.48
  5. Step 5: Solve for x
    x = 31,914,247,596.48/231,938.40
  6. Step 6: Final answer
    x = 137,597.95

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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.