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Finding the Fourth Proportional to 133,740, 184,561.20 and 74,124

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Solution

The fourth proportional to 133,740, 184,561.20 and 74,124 is: 102,291.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,740 : 184,561.20 = 74,124 : x
  2. Step 2: Convert to fraction form
    133,740/184,561.20 = 74,124/x
  3. Step 3: Cross multiply
    133,740x = 184,561.20 × 74,124
  4. Step 4: Simplify right side
    133,740x = 13,680,414,388.80
  5. Step 5: Solve for x
    x = 13,680,414,388.80/133,740
  6. Step 6: Final answer
    x = 102,291.12

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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.