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Finding the Fourth Proportional to 133,778.84, 200,651.86 and 77,649.48

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Solution

The fourth proportional to 133,778.84, 200,651.86 and 77,649.48 is: 116,464.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,778.84 : 200,651.86 = 77,649.48 : x
  2. Step 2: Convert to fraction form
    133,778.84/200,651.86 = 77,649.48/x
  3. Step 3: Cross multiply
    133,778.84x = 200,651.86 × 77,649.48
  4. Step 4: Simplify right side
    133,778.84x = 15,580,512,590.03
  5. Step 5: Solve for x
    x = 15,580,512,590.03/133,778.84
  6. Step 6: Final answer
    x = 116,464.70

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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.