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Finding the Fourth Proportional to 133,340.96, 184,016.24 and 72,908

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Solution

The fourth proportional to 133,340.96, 184,016.24 and 72,908 is: 100,616.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,340.96 : 184,016.24 = 72,908 : x
  2. Step 2: Convert to fraction form
    133,340.96/184,016.24 = 72,908/x
  3. Step 3: Cross multiply
    133,340.96x = 184,016.24 × 72,908
  4. Step 4: Simplify right side
    133,340.96x = 13,416,256,025.92
  5. Step 5: Solve for x
    x = 13,416,256,025.92/133,340.96
  6. Step 6: Final answer
    x = 100,616.16

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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.