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Finding the Fourth Proportional to 208,141.80, 312,500.70 and 133,722.60

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Solution

The fourth proportional to 208,141.80, 312,500.70 and 133,722.60 is: 200,768.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,141.80 : 312,500.70 = 133,722.60 : x
  2. Step 2: Convert to fraction form
    208,141.80/312,500.70 = 133,722.60/x
  3. Step 3: Cross multiply
    208,141.80x = 312,500.70 × 133,722.60
  4. Step 4: Simplify right side
    208,141.80x = 41,788,406,105.82
  5. Step 5: Solve for x
    x = 41,788,406,105.82/208,141.80
  6. Step 6: Final answer
    x = 200,768.93

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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.