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Finding the Fourth Proportional to 206,803.20, 310,204.80 and 135,944.40

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Solution

The fourth proportional to 206,803.20, 310,204.80 and 135,944.40 is: 203,916.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,803.20 : 310,204.80 = 135,944.40 : x
  2. Step 2: Convert to fraction form
    206,803.20/310,204.80 = 135,944.40/x
  3. Step 3: Cross multiply
    206,803.20x = 310,204.80 × 135,944.40
  4. Step 4: Simplify right side
    206,803.20x = 42,170,605,413.12
  5. Step 5: Solve for x
    x = 42,170,605,413.12/206,803.20
  6. Step 6: Final answer
    x = 203,916.60

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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.