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Finding the Fourth Proportional to 206,187.88, 309,270.42 and 56,417.42

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Solution

The fourth proportional to 206,187.88, 309,270.42 and 56,417.42 is: 84,623.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,187.88 : 309,270.42 = 56,417.42 : x
  2. Step 2: Convert to fraction form
    206,187.88/309,270.42 = 56,417.42/x
  3. Step 3: Cross multiply
    206,187.88x = 309,270.42 × 56,417.42
  4. Step 4: Simplify right side
    206,187.88x = 17,448,240,327.30
  5. Step 5: Solve for x
    x = 17,448,240,327.30/206,187.88
  6. Step 6: Final answer
    x = 84,623.02

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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.