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Finding the Fourth Proportional to 137,754.56, 190,104.10 and 77,329.56

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Solution

The fourth proportional to 137,754.56, 190,104.10 and 77,329.56 is: 106,716.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,754.56 : 190,104.10 = 77,329.56 : x
  2. Step 2: Convert to fraction form
    137,754.56/190,104.10 = 77,329.56/x
  3. Step 3: Cross multiply
    137,754.56x = 190,104.10 × 77,329.56
  4. Step 4: Simplify right side
    137,754.56x = 14,700,666,407.20
  5. Step 5: Solve for x
    x = 14,700,666,407.20/137,754.56
  6. Step 6: Final answer
    x = 106,716.37

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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.