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Finding the Fourth Proportional to 206,956.98, 285,374.61 and 139,772.34

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Solution

The fourth proportional to 206,956.98, 285,374.61 and 139,772.34 is: 192,733.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,956.98 : 285,374.61 = 139,772.34 : x
  2. Step 2: Convert to fraction form
    206,956.98/285,374.61 = 139,772.34/x
  3. Step 3: Cross multiply
    206,956.98x = 285,374.61 × 139,772.34
  4. Step 4: Simplify right side
    206,956.98x = 39,887,477,016.29
  5. Step 5: Solve for x
    x = 39,887,477,016.29/206,956.98
  6. Step 6: Final answer
    x = 192,733.18

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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.