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Finding the Fourth Proportional to 206,685.79, 285,223.89 and 116,039.50

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Solution

The fourth proportional to 206,685.79, 285,223.89 and 116,039.50 is: 160,133.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,685.79 : 285,223.89 = 116,039.50 : x
  2. Step 2: Convert to fraction form
    206,685.79/285,223.89 = 116,039.50/x
  3. Step 3: Cross multiply
    206,685.79x = 285,223.89 × 116,039.50
  4. Step 4: Simplify right side
    206,685.79x = 33,097,237,583.66
  5. Step 5: Solve for x
    x = 33,097,237,583.66/206,685.79
  6. Step 6: Final answer
    x = 160,133.11

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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.