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Finding the Fourth Proportional to 206,864.70, 310,290.84 and 57,114.13

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Solution

The fourth proportional to 206,864.70, 310,290.84 and 57,114.13 is: 85,669.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,864.70 : 310,290.84 = 57,114.13 : x
  2. Step 2: Convert to fraction form
    206,864.70/310,290.84 = 57,114.13/x
  3. Step 3: Cross multiply
    206,864.70x = 310,290.84 × 57,114.13
  4. Step 4: Simplify right side
    206,864.70x = 17,721,989,964.90
  5. Step 5: Solve for x
    x = 17,721,989,964.90/206,864.70
  6. Step 6: Final answer
    x = 85,669.48

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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.