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Finding the Fourth Proportional to 205,754.40, 308,631.60 and 65,527.20

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Solution

The fourth proportional to 205,754.40, 308,631.60 and 65,527.20 is: 98,290.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,754.40 : 308,631.60 = 65,527.20 : x
  2. Step 2: Convert to fraction form
    205,754.40/308,631.60 = 65,527.20/x
  3. Step 3: Cross multiply
    205,754.40x = 308,631.60 × 65,527.20
  4. Step 4: Simplify right side
    205,754.40x = 20,223,764,579.52
  5. Step 5: Solve for x
    x = 20,223,764,579.52/205,754.40
  6. Step 6: Final answer
    x = 98,290.80

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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.