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Finding the Fourth Proportional to 149,894.64, 206,866.40 and 85,366.61

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Solution

The fourth proportional to 149,894.64, 206,866.40 and 85,366.61 is: 117,812.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,894.64 : 206,866.40 = 85,366.61 : x
  2. Step 2: Convert to fraction form
    149,894.64/206,866.40 = 85,366.61/x
  3. Step 3: Cross multiply
    149,894.64x = 206,866.40 × 85,366.61
  4. Step 4: Simplify right side
    149,894.64x = 17,659,481,829.74
  5. Step 5: Solve for x
    x = 17,659,481,829.74/149,894.64
  6. Step 6: Final answer
    x = 117,812.63

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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.