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Finding the Fourth Proportional to 206,892.40, 310,309.80 and 66,665.20

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Solution

The fourth proportional to 206,892.40, 310,309.80 and 66,665.20 is: 99,988.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,892.40 : 310,309.80 = 66,665.20 : x
  2. Step 2: Convert to fraction form
    206,892.40/310,309.80 = 66,665.20/x
  3. Step 3: Cross multiply
    206,892.40x = 310,309.80 × 66,665.20
  4. Step 4: Simplify right side
    206,892.40x = 20,686,864,878.96
  5. Step 5: Solve for x
    x = 20,686,864,878.96/206,892.40
  6. Step 6: Final answer
    x = 99,988.52

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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.