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Finding the Fourth Proportional to 133,218.60, 199,730.70 and 54,292.20

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Solution

The fourth proportional to 133,218.60, 199,730.70 and 54,292.20 is: 81,398.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,218.60 : 199,730.70 = 54,292.20 : x
  2. Step 2: Convert to fraction form
    133,218.60/199,730.70 = 54,292.20/x
  3. Step 3: Cross multiply
    133,218.60x = 199,730.70 × 54,292.20
  4. Step 4: Simplify right side
    133,218.60x = 10,843,819,110.54
  5. Step 5: Solve for x
    x = 10,843,819,110.54/133,218.60
  6. Step 6: Final answer
    x = 81,398.69

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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.