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Finding the Fourth Proportional to 136,880, 189,049.92 and 92,090.24

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Solution

The fourth proportional to 136,880, 189,049.92 and 92,090.24 is: 127,189.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,880 : 189,049.92 = 92,090.24 : x
  2. Step 2: Convert to fraction form
    136,880/189,049.92 = 92,090.24/x
  3. Step 3: Cross multiply
    136,880x = 189,049.92 × 92,090.24
  4. Step 4: Simplify right side
    136,880x = 17,409,652,504.78
  5. Step 5: Solve for x
    x = 17,409,652,504.78/136,880
  6. Step 6: Final answer
    x = 127,189.16

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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.