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Finding the Fourth Proportional to 142,993.60, 214,425.60 and 54,217.60

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Solution

The fourth proportional to 142,993.60, 214,425.60 and 54,217.60 is: 81,301.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,993.60 : 214,425.60 = 54,217.60 : x
  2. Step 2: Convert to fraction form
    142,993.60/214,425.60 = 54,217.60/x
  3. Step 3: Cross multiply
    142,993.60x = 214,425.60 × 54,217.60
  4. Step 4: Simplify right side
    142,993.60x = 11,625,641,410.56
  5. Step 5: Solve for x
    x = 11,625,641,410.56/142,993.60
  6. Step 6: Final answer
    x = 81,301.83

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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.