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Finding the Fourth Proportional to 133,426.19, 184,194.78 and 76,826.63

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Solution

The fourth proportional to 133,426.19, 184,194.78 and 76,826.63 is: 106,059.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,426.19 : 184,194.78 = 76,826.63 : x
  2. Step 2: Convert to fraction form
    133,426.19/184,194.78 = 76,826.63/x
  3. Step 3: Cross multiply
    133,426.19x = 184,194.78 × 76,826.63
  4. Step 4: Simplify right side
    133,426.19x = 14,151,064,383.38
  5. Step 5: Solve for x
    x = 14,151,064,383.38/133,426.19
  6. Step 6: Final answer
    x = 106,059.12

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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.