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Finding the Fourth Proportional to 137,115.92, 189,222.96 and 96,900.64

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Solution

The fourth proportional to 137,115.92, 189,222.96 and 96,900.64 is: 133,725.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,115.92 : 189,222.96 = 96,900.64 : x
  2. Step 2: Convert to fraction form
    137,115.92/189,222.96 = 96,900.64/x
  3. Step 3: Cross multiply
    137,115.92x = 189,222.96 × 96,900.64
  4. Step 4: Simplify right side
    137,115.92x = 18,335,825,926.69
  5. Step 5: Solve for x
    x = 18,335,825,926.69/137,115.92
  6. Step 6: Final answer
    x = 133,725.00

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1.5x scale

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.