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Finding the Fourth Proportional to 205,143.80, 307,715.70 and 188,036.60

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Solution

The fourth proportional to 205,143.80, 307,715.70 and 188,036.60 is: 282,054.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,143.80 : 307,715.70 = 188,036.60 : x
  2. Step 2: Convert to fraction form
    205,143.80/307,715.70 = 188,036.60/x
  3. Step 3: Cross multiply
    205,143.80x = 307,715.70 × 188,036.60
  4. Step 4: Simplify right side
    205,143.80x = 57,861,813,994.62
  5. Step 5: Solve for x
    x = 57,861,813,994.62/205,143.80
  6. Step 6: Final answer
    x = 282,054.90

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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.