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Finding the Fourth Proportional to 159,911, 220,696.62 and 92,843

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Solution

The fourth proportional to 159,911, 220,696.62 and 92,843 is: 128,134.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,911 : 220,696.62 = 92,843 : x
  2. Step 2: Convert to fraction form
    159,911/220,696.62 = 92,843/x
  3. Step 3: Cross multiply
    159,911x = 220,696.62 × 92,843
  4. Step 4: Simplify right side
    159,911x = 20,490,136,290.66
  5. Step 5: Solve for x
    x = 20,490,136,290.66/159,911
  6. Step 6: Final answer
    x = 128,134.63

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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.