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Finding the Fourth Proportional to 137,568.38, 189,784.22 and 97,316.64

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Solution

The fourth proportional to 137,568.38, 189,784.22 and 97,316.64 is: 134,254.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,568.38 : 189,784.22 = 97,316.64 : x
  2. Step 2: Convert to fraction form
    137,568.38/189,784.22 = 97,316.64/x
  3. Step 3: Cross multiply
    137,568.38x = 189,784.22 × 97,316.64
  4. Step 4: Simplify right side
    137,568.38x = 18,469,162,128.84
  5. Step 5: Solve for x
    x = 18,469,162,128.84/137,568.38
  6. Step 6: Final answer
    x = 134,254.42

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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.