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Finding the Fourth Proportional to 206,810.20, 310,215.30 and 57,073.60

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Solution

The fourth proportional to 206,810.20, 310,215.30 and 57,073.60 is: 85,610.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,810.20 : 310,215.30 = 57,073.60 : x
  2. Step 2: Convert to fraction form
    206,810.20/310,215.30 = 57,073.60/x
  3. Step 3: Cross multiply
    206,810.20x = 310,215.30 × 57,073.60
  4. Step 4: Simplify right side
    206,810.20x = 17,705,103,946.08
  5. Step 5: Solve for x
    x = 17,705,103,946.08/206,810.20
  6. Step 6: Final answer
    x = 85,610.40

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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.