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Finding the Fourth Proportional to 206,840.35, 310,039.80 and 117,902.35

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Solution

The fourth proportional to 206,840.35, 310,039.80 and 117,902.35 is: 176,727.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,840.35 : 310,039.80 = 117,902.35 : x
  2. Step 2: Convert to fraction form
    206,840.35/310,039.80 = 117,902.35/x
  3. Step 3: Cross multiply
    206,840.35x = 310,039.80 × 117,902.35
  4. Step 4: Simplify right side
    206,840.35x = 36,554,421,013.53
  5. Step 5: Solve for x
    x = 36,554,421,013.53/206,840.35
  6. Step 6: Final answer
    x = 176,727.71

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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.