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Finding the Fourth Proportional to 203,767.54, 305,667.69 and 77,468.20

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Solution

The fourth proportional to 203,767.54, 305,667.69 and 77,468.20 is: 116,208.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,767.54 : 305,667.69 = 77,468.20 : x
  2. Step 2: Convert to fraction form
    203,767.54/305,667.69 = 77,468.20/x
  3. Step 3: Cross multiply
    203,767.54x = 305,667.69 × 77,468.20
  4. Step 4: Simplify right side
    203,767.54x = 23,679,525,742.46
  5. Step 5: Solve for x
    x = 23,679,525,742.46/203,767.54
  6. Step 6: Final answer
    x = 116,208.53

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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.