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Finding the Fourth Proportional to 201,280.80, 301,921.20 and 61,046.40

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Solution

The fourth proportional to 201,280.80, 301,921.20 and 61,046.40 is: 91,569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,280.80 : 301,921.20 = 61,046.40 : x
  2. Step 2: Convert to fraction form
    201,280.80/301,921.20 = 61,046.40/x
  3. Step 3: Cross multiply
    201,280.80x = 301,921.20 × 61,046.40
  4. Step 4: Simplify right side
    201,280.80x = 18,431,202,343.68
  5. Step 5: Solve for x
    x = 18,431,202,343.68/201,280.80
  6. Step 6: Final answer
    x = 91,569.60

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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.