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Finding the Fourth Proportional to 137,399.43, 189,703.79 and 85,795.13

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Solution

The fourth proportional to 137,399.43, 189,703.79 and 85,795.13 is: 118,455.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,399.43 : 189,703.79 = 85,795.13 : x
  2. Step 2: Convert to fraction form
    137,399.43/189,703.79 = 85,795.13/x
  3. Step 3: Cross multiply
    137,399.43x = 189,703.79 × 85,795.13
  4. Step 4: Simplify right side
    137,399.43x = 16,275,659,947.05
  5. Step 5: Solve for x
    x = 16,275,659,947.05/137,399.43
  6. Step 6: Final answer
    x = 118,455.08

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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.