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Finding the Fourth Proportional to 133,820.37, 184,658.81 and 77,249.97

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Solution

The fourth proportional to 133,820.37, 184,658.81 and 77,249.97 is: 106,597.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,820.37 : 184,658.81 = 77,249.97 : x
  2. Step 2: Convert to fraction form
    133,820.37/184,658.81 = 77,249.97/x
  3. Step 3: Cross multiply
    133,820.37x = 184,658.81 × 77,249.97
  4. Step 4: Simplify right side
    133,820.37x = 14,264,887,146.49
  5. Step 5: Solve for x
    x = 14,264,887,146.49/133,820.37
  6. Step 6: Final answer
    x = 106,597.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.