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Finding the Fourth Proportional to 133,901.73, 184,782.78 and 77,311.89

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Solution

The fourth proportional to 133,901.73, 184,782.78 and 77,311.89 is: 106,689.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,901.73 : 184,782.78 = 77,311.89 : x
  2. Step 2: Convert to fraction form
    133,901.73/184,782.78 = 77,311.89/x
  3. Step 3: Cross multiply
    133,901.73x = 184,782.78 × 77,311.89
  4. Step 4: Simplify right side
    133,901.73x = 14,285,905,961.25
  5. Step 5: Solve for x
    x = 14,285,905,961.25/133,901.73
  6. Step 6: Final answer
    x = 106,689.48

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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.