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Finding the Fourth Proportional to 149,903.97, 206,870.19 and 81,923.82

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Solution

The fourth proportional to 149,903.97, 206,870.19 and 81,923.82 is: 113,056.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,903.97 : 206,870.19 = 81,923.82 : x
  2. Step 2: Convert to fraction form
    149,903.97/206,870.19 = 81,923.82/x
  3. Step 3: Cross multiply
    149,903.97x = 206,870.19 × 81,923.82
  4. Step 4: Simplify right side
    149,903.97x = 16,947,596,208.93
  5. Step 5: Solve for x
    x = 16,947,596,208.93/149,903.97
  6. Step 6: Final answer
    x = 113,056.35

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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.