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Finding the Fourth Proportional to 203,991.65, 305,987.55 and 77,602.70

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Solution

The fourth proportional to 203,991.65, 305,987.55 and 77,602.70 is: 116,404.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,991.65 : 305,987.55 = 77,602.70 : x
  2. Step 2: Convert to fraction form
    203,991.65/305,987.55 = 77,602.70/x
  3. Step 3: Cross multiply
    203,991.65x = 305,987.55 × 77,602.70
  4. Step 4: Simplify right side
    203,991.65x = 23,745,458,516.45
  5. Step 5: Solve for x
    x = 23,745,458,516.45/203,991.65
  6. Step 6: Final answer
    x = 116,404.07

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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.