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Finding the Fourth Proportional to 205,902.90, 309,027.15 and 100,811.70

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Solution

The fourth proportional to 205,902.90, 309,027.15 and 100,811.70 is: 151,302.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,902.90 : 309,027.15 = 100,811.70 : x
  2. Step 2: Convert to fraction form
    205,902.90/309,027.15 = 100,811.70/x
  3. Step 3: Cross multiply
    205,902.90x = 309,027.15 × 100,811.70
  4. Step 4: Simplify right side
    205,902.90x = 31,153,552,337.66
  5. Step 5: Solve for x
    x = 31,153,552,337.66/205,902.90
  6. Step 6: Final answer
    x = 151,302.15

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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.