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Finding the Fourth Proportional to 206,952.78, 285,703.65 and 139,325.34

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Solution

The fourth proportional to 206,952.78, 285,703.65 and 139,325.34 is: 192,342.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,952.78 : 285,703.65 = 139,325.34 : x
  2. Step 2: Convert to fraction form
    206,952.78/285,703.65 = 139,325.34/x
  3. Step 3: Cross multiply
    206,952.78x = 285,703.65 × 139,325.34
  4. Step 4: Simplify right side
    206,952.78x = 39,805,758,175.49
  5. Step 5: Solve for x
    x = 39,805,758,175.49/206,952.78
  6. Step 6: Final answer
    x = 192,342.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.