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Finding the Fourth Proportional to 149,894.97, 206,866.85 and 85,366.95

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Solution

The fourth proportional to 149,894.97, 206,866.85 and 85,366.95 is: 117,813.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,894.97 : 206,866.85 = 85,366.95 : x
  2. Step 2: Convert to fraction form
    149,894.97/206,866.85 = 85,366.95/x
  3. Step 3: Cross multiply
    149,894.97x = 206,866.85 × 85,366.95
  4. Step 4: Simplify right side
    149,894.97x = 17,659,592,040.61
  5. Step 5: Solve for x
    x = 17,659,592,040.61/149,894.97
  6. Step 6: Final answer
    x = 117,813.11

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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.