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Finding the Fourth Proportional to 206,685.20, 310,027.80 and 135,826.40

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Solution

The fourth proportional to 206,685.20, 310,027.80 and 135,826.40 is: 203,739.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,685.20 : 310,027.80 = 135,826.40 : x
  2. Step 2: Convert to fraction form
    206,685.20/310,027.80 = 135,826.40/x
  3. Step 3: Cross multiply
    206,685.20x = 310,027.80 × 135,826.40
  4. Step 4: Simplify right side
    206,685.20x = 42,109,959,973.92
  5. Step 5: Solve for x
    x = 42,109,959,973.92/206,685.20
  6. Step 6: Final answer
    x = 203,739.60

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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.