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Finding the Fourth Proportional to 133,692.66, 184,472.45 and 76,305.78

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Solution

The fourth proportional to 133,692.66, 184,472.45 and 76,305.78 is: 105,288.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,692.66 : 184,472.45 = 76,305.78 : x
  2. Step 2: Convert to fraction form
    133,692.66/184,472.45 = 76,305.78/x
  3. Step 3: Cross multiply
    133,692.66x = 184,472.45 × 76,305.78
  4. Step 4: Simplify right side
    133,692.66x = 14,076,314,185.76
  5. Step 5: Solve for x
    x = 14,076,314,185.76/133,692.66
  6. Step 6: Final answer
    x = 105,288.61

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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.