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Finding the Fourth Proportional to 133,980, 184,893.12 and 83,708.16

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Solution

The fourth proportional to 133,980, 184,893.12 and 83,708.16 is: 115,517.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,980 : 184,893.12 = 83,708.16 : x
  2. Step 2: Convert to fraction form
    133,980/184,893.12 = 83,708.16/x
  3. Step 3: Cross multiply
    133,980x = 184,893.12 × 83,708.16
  4. Step 4: Simplify right side
    133,980x = 15,477,062,871.86
  5. Step 5: Solve for x
    x = 15,477,062,871.86/133,980
  6. Step 6: Final answer
    x = 115,517.71

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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.