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Finding the Fourth Proportional to 139,385.88, 192,356.28 and 82,029.24

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Solution

The fourth proportional to 139,385.88, 192,356.28 and 82,029.24 is: 113,202.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,385.88 : 192,356.28 = 82,029.24 : x
  2. Step 2: Convert to fraction form
    139,385.88/192,356.28 = 82,029.24/x
  3. Step 3: Cross multiply
    139,385.88x = 192,356.28 × 82,029.24
  4. Step 4: Simplify right side
    139,385.88x = 15,778,839,457.63
  5. Step 5: Solve for x
    x = 15,778,839,457.63/139,385.88
  6. Step 6: Final answer
    x = 113,202.57

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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.