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Finding the Fourth Proportional to 133,876.54, 184,717.02 and 77,287.78

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Solution

The fourth proportional to 133,876.54, 184,717.02 and 77,287.78 is: 106,638.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,876.54 : 184,717.02 = 77,287.78 : x
  2. Step 2: Convert to fraction form
    133,876.54/184,717.02 = 77,287.78/x
  3. Step 3: Cross multiply
    133,876.54x = 184,717.02 × 77,287.78
  4. Step 4: Simplify right side
    133,876.54x = 14,276,368,404.02
  5. Step 5: Solve for x
    x = 14,276,368,404.02/133,876.54
  6. Step 6: Final answer
    x = 106,638.31

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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.