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Finding the Fourth Proportional to 203,765.04, 305,663.94 and 77,465.70

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Solution

The fourth proportional to 203,765.04, 305,663.94 and 77,465.70 is: 116,204.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,765.04 : 305,663.94 = 77,465.70 : x
  2. Step 2: Convert to fraction form
    203,765.04/305,663.94 = 77,465.70/x
  3. Step 3: Cross multiply
    203,765.04x = 305,663.94 × 77,465.70
  4. Step 4: Simplify right side
    203,765.04x = 23,678,471,076.86
  5. Step 5: Solve for x
    x = 23,678,471,076.86/203,765.04
  6. Step 6: Final answer
    x = 116,204.78

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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.