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Finding the Fourth Proportional to 139,640.58, 192,708.06 and 75,982.47

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Solution

The fourth proportional to 139,640.58, 192,708.06 and 75,982.47 is: 104,858.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,640.58 : 192,708.06 = 75,982.47 : x
  2. Step 2: Convert to fraction form
    139,640.58/192,708.06 = 75,982.47/x
  3. Step 3: Cross multiply
    139,640.58x = 192,708.06 × 75,982.47
  4. Step 4: Simplify right side
    139,640.58x = 14,642,434,387.71
  5. Step 5: Solve for x
    x = 14,642,434,387.71/139,640.58
  6. Step 6: Final answer
    x = 104,858.02

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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.