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Finding the Fourth Proportional to 137,509.80, 189,776.97 and 77,080.56

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Solution

The fourth proportional to 137,509.80, 189,776.97 and 77,080.56 is: 106,378.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,509.80 : 189,776.97 = 77,080.56 : x
  2. Step 2: Convert to fraction form
    137,509.80/189,776.97 = 77,080.56/x
  3. Step 3: Cross multiply
    137,509.80x = 189,776.97 × 77,080.56
  4. Step 4: Simplify right side
    137,509.80x = 14,628,115,122.70
  5. Step 5: Solve for x
    x = 14,628,115,122.70/137,509.80
  6. Step 6: Final answer
    x = 106,378.71

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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.