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Finding the Fourth Proportional to 142,711.60, 214,067.40 and 133,963.60

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Solution

The fourth proportional to 142,711.60, 214,067.40 and 133,963.60 is: 200,945.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,711.60 : 214,067.40 = 133,963.60 : x
  2. Step 2: Convert to fraction form
    142,711.60/214,067.40 = 133,963.60/x
  3. Step 3: Cross multiply
    142,711.60x = 214,067.40 × 133,963.60
  4. Step 4: Simplify right side
    142,711.60x = 28,677,239,546.64
  5. Step 5: Solve for x
    x = 28,677,239,546.64/142,711.60
  6. Step 6: Final answer
    x = 200,945.40

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1.5x scale

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.