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Finding the Fourth Proportional to 201,107.60, 301,661.40 and 76,432.40

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Solution

The fourth proportional to 201,107.60, 301,661.40 and 76,432.40 is: 114,648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,107.60 : 301,661.40 = 76,432.40 : x
  2. Step 2: Convert to fraction form
    201,107.60/301,661.40 = 76,432.40/x
  3. Step 3: Cross multiply
    201,107.60x = 301,661.40 × 76,432.40
  4. Step 4: Simplify right side
    201,107.60x = 23,056,704,789.36
  5. Step 5: Solve for x
    x = 23,056,704,789.36/201,107.60
  6. Step 6: Final answer
    x = 114,648.60

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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.