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Finding the Fourth Proportional to 133,342, 184,013.92 and 90,334.64

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Solution

The fourth proportional to 133,342, 184,013.92 and 90,334.64 is: 124,663.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,342 : 184,013.92 = 90,334.64 : x
  2. Step 2: Convert to fraction form
    133,342/184,013.92 = 90,334.64/x
  3. Step 3: Cross multiply
    133,342x = 184,013.92 × 90,334.64
  4. Step 4: Simplify right side
    133,342x = 16,622,831,218.19
  5. Step 5: Solve for x
    x = 16,622,831,218.19/133,342
  6. Step 6: Final answer
    x = 124,663.13

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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.