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Finding the Fourth Proportional to 139,825.71, 192,984.48 and 82,461.51

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Solution

The fourth proportional to 139,825.71, 192,984.48 and 82,461.51 is: 113,811.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,825.71 : 192,984.48 = 82,461.51 : x
  2. Step 2: Convert to fraction form
    139,825.71/192,984.48 = 82,461.51/x
  3. Step 3: Cross multiply
    139,825.71x = 192,984.48 × 82,461.51
  4. Step 4: Simplify right side
    139,825.71x = 15,913,791,627.36
  5. Step 5: Solve for x
    x = 15,913,791,627.36/139,825.71
  6. Step 6: Final answer
    x = 113,811.63

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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.