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Finding the Fourth Proportional to 149,119.92, 205,791.15 and 85,470

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Solution

The fourth proportional to 149,119.92, 205,791.15 and 85,470 is: 117,951.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,119.92 : 205,791.15 = 85,470 : x
  2. Step 2: Convert to fraction form
    149,119.92/205,791.15 = 85,470/x
  3. Step 3: Cross multiply
    149,119.92x = 205,791.15 × 85,470
  4. Step 4: Simplify right side
    149,119.92x = 17,588,969,590.50
  5. Step 5: Solve for x
    x = 17,588,969,590.50/149,119.92
  6. Step 6: Final answer
    x = 117,951.84

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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.