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Finding the Fourth Proportional to 137,057.74, 189,163.06 and 79,730.33

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Solution

The fourth proportional to 137,057.74, 189,163.06 and 79,730.33 is: 110,041.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,057.74 : 189,163.06 = 79,730.33 : x
  2. Step 2: Convert to fraction form
    137,057.74/189,163.06 = 79,730.33/x
  3. Step 3: Cross multiply
    137,057.74x = 189,163.06 × 79,730.33
  4. Step 4: Simplify right side
    137,057.74x = 15,082,033,197.61
  5. Step 5: Solve for x
    x = 15,082,033,197.61/137,057.74
  6. Step 6: Final answer
    x = 110,041.46

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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.