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Finding the Fourth Proportional to 204,056.40, 305,938.80 and 91,644.60

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Solution

The fourth proportional to 204,056.40, 305,938.80 and 91,644.60 is: 137,401.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,056.40 : 305,938.80 = 91,644.60 : x
  2. Step 2: Convert to fraction form
    204,056.40/305,938.80 = 91,644.60/x
  3. Step 3: Cross multiply
    204,056.40x = 305,938.80 × 91,644.60
  4. Step 4: Simplify right side
    204,056.40x = 28,037,638,950.48
  5. Step 5: Solve for x
    x = 28,037,638,950.48/204,056.40
  6. Step 6: Final answer
    x = 137,401.42

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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.