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Finding the Fourth Proportional to 204,485.20, 306,071.70 and 145,436.20

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Solution

The fourth proportional to 204,485.20, 306,071.70 and 145,436.20 is: 217,687.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,485.20 : 306,071.70 = 145,436.20 : x
  2. Step 2: Convert to fraction form
    204,485.20/306,071.70 = 145,436.20/x
  3. Step 3: Cross multiply
    204,485.20x = 306,071.70 × 145,436.20
  4. Step 4: Simplify right side
    204,485.20x = 44,513,904,975.54
  5. Step 5: Solve for x
    x = 44,513,904,975.54/204,485.20
  6. Step 6: Final answer
    x = 217,687.66

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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.