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Finding the Fourth Proportional to 206,473.76, 285,020.88 and 139,496.48

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Solution

The fourth proportional to 206,473.76, 285,020.88 and 139,496.48 is: 192,563.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,473.76 : 285,020.88 = 139,496.48 : x
  2. Step 2: Convert to fraction form
    206,473.76/285,020.88 = 139,496.48/x
  3. Step 3: Cross multiply
    206,473.76x = 285,020.88 × 139,496.48
  4. Step 4: Simplify right side
    206,473.76x = 39,759,409,486.50
  5. Step 5: Solve for x
    x = 39,759,409,486.50/206,473.76
  6. Step 6: Final answer
    x = 192,563.98

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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.