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Finding the Fourth Proportional to 139,629.54, 192,690.08 and 83,029.98

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Solution

The fourth proportional to 139,629.54, 192,690.08 and 83,029.98 is: 114,582.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,629.54 : 192,690.08 = 83,029.98 : x
  2. Step 2: Convert to fraction form
    139,629.54/192,690.08 = 83,029.98/x
  3. Step 3: Cross multiply
    139,629.54x = 192,690.08 × 83,029.98
  4. Step 4: Simplify right side
    139,629.54x = 15,999,053,073.45
  5. Step 5: Solve for x
    x = 15,999,053,073.45/139,629.54
  6. Step 6: Final answer
    x = 114,582.15

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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.