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Finding the Fourth Proportional to 205,626.60, 308,405.16 and 72,475.56

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Solution

The fourth proportional to 205,626.60, 308,405.16 and 72,475.56 is: 108,701.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,626.60 : 308,405.16 = 72,475.56 : x
  2. Step 2: Convert to fraction form
    205,626.60/308,405.16 = 72,475.56/x
  3. Step 3: Cross multiply
    205,626.60x = 308,405.16 × 72,475.56
  4. Step 4: Simplify right side
    205,626.60x = 22,351,836,677.89
  5. Step 5: Solve for x
    x = 22,351,836,677.89/205,626.60
  6. Step 6: Final answer
    x = 108,701.10

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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.