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Finding the Fourth Proportional to 137,353.71, 206,966.48 and 112,940.63

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Solution

The fourth proportional to 137,353.71, 206,966.48 and 112,940.63 is: 170,180.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,353.71 : 206,966.48 = 112,940.63 : x
  2. Step 2: Convert to fraction form
    137,353.71/206,966.48 = 112,940.63/x
  3. Step 3: Cross multiply
    137,353.71x = 206,966.48 × 112,940.63
  4. Step 4: Simplify right side
    137,353.71x = 23,374,923,040.55
  5. Step 5: Solve for x
    x = 23,374,923,040.55/137,353.71
  6. Step 6: Final answer
    x = 170,180.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.