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Finding the Fourth Proportional to 133,801.56, 184,644.63 and 77,211.72

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Solution

The fourth proportional to 133,801.56, 184,644.63 and 77,211.72 is: 106,551.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,801.56 : 184,644.63 = 77,211.72 : x
  2. Step 2: Convert to fraction form
    133,801.56/184,644.63 = 77,211.72/x
  3. Step 3: Cross multiply
    133,801.56x = 184,644.63 × 77,211.72
  4. Step 4: Simplify right side
    133,801.56x = 14,256,729,471.06
  5. Step 5: Solve for x
    x = 14,256,729,471.06/133,801.56
  6. Step 6: Final answer
    x = 106,551.29

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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.