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Finding the Fourth Proportional to 206,811.20, 310,216.80 and 135,952.40

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Solution

The fourth proportional to 206,811.20, 310,216.80 and 135,952.40 is: 203,928.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,811.20 : 310,216.80 = 135,952.40 : x
  2. Step 2: Convert to fraction form
    206,811.20/310,216.80 = 135,952.40/x
  3. Step 3: Cross multiply
    206,811.20x = 310,216.80 × 135,952.40
  4. Step 4: Simplify right side
    206,811.20x = 42,174,718,480.32
  5. Step 5: Solve for x
    x = 42,174,718,480.32/206,811.20
  6. Step 6: Final answer
    x = 203,928.60

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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.