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Finding the Fourth Proportional to 214,813.51, 322,266.74 and 81,696.29

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Solution

The fourth proportional to 214,813.51, 322,266.74 and 81,696.29 is: 122,562.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,813.51 : 322,266.74 = 81,696.29 : x
  2. Step 2: Convert to fraction form
    214,813.51/322,266.74 = 81,696.29/x
  3. Step 3: Cross multiply
    214,813.51x = 322,266.74 × 81,696.29
  4. Step 4: Simplify right side
    214,813.51x = 26,327,995,028.58
  5. Step 5: Solve for x
    x = 26,327,995,028.58/214,813.51
  6. Step 6: Final answer
    x = 122,562.10

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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.