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Finding the Fourth Proportional to 149,120.92, 205,792.53 and 85,471

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Solution

The fourth proportional to 149,120.92, 205,792.53 and 85,471 is: 117,953.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,120.92 : 205,792.53 = 85,471 : x
  2. Step 2: Convert to fraction form
    149,120.92/205,792.53 = 85,471/x
  3. Step 3: Cross multiply
    149,120.92x = 205,792.53 × 85,471
  4. Step 4: Simplify right side
    149,120.92x = 17,589,293,331.63
  5. Step 5: Solve for x
    x = 17,589,293,331.63/149,120.92
  6. Step 6: Final answer
    x = 117,953.22

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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.