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Finding the Fourth Proportional to 262,700.25, 394,013.45 and 85,208.81

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Solution

The fourth proportional to 262,700.25, 394,013.45 and 85,208.81 is: 127,801.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,700.25 : 394,013.45 = 85,208.81 : x
  2. Step 2: Convert to fraction form
    262,700.25/394,013.45 = 85,208.81/x
  3. Step 3: Cross multiply
    262,700.25x = 394,013.45 × 85,208.81
  4. Step 4: Simplify right side
    262,700.25x = 33,573,414,802.38
  5. Step 5: Solve for x
    x = 33,573,414,802.38/262,700.25
  6. Step 6: Final answer
    x = 127,801.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.