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Finding the Fourth Proportional to 206,281.60, 309,436.80 and 81,606.40

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Solution

The fourth proportional to 206,281.60, 309,436.80 and 81,606.40 is: 122,415.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,281.60 : 309,436.80 = 81,606.40 : x
  2. Step 2: Convert to fraction form
    206,281.60/309,436.80 = 81,606.40/x
  3. Step 3: Cross multiply
    206,281.60x = 309,436.80 × 81,606.40
  4. Step 4: Simplify right side
    206,281.60x = 25,252,023,275.52
  5. Step 5: Solve for x
    x = 25,252,023,275.52/206,281.60
  6. Step 6: Final answer
    x = 122,415.30

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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.