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Finding the Fourth Proportional to 203,643.60, 305,465.40 and 132,784.80

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Solution

The fourth proportional to 203,643.60, 305,465.40 and 132,784.80 is: 199,177.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,643.60 : 305,465.40 = 132,784.80 : x
  2. Step 2: Convert to fraction form
    203,643.60/305,465.40 = 132,784.80/x
  3. Step 3: Cross multiply
    203,643.60x = 305,465.40 × 132,784.80
  4. Step 4: Simplify right side
    203,643.60x = 40,561,162,045.92
  5. Step 5: Solve for x
    x = 40,561,162,045.92/203,643.60
  6. Step 6: Final answer
    x = 199,177.20

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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.