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Finding the Fourth Proportional to 212,098.36, 318,147.60 and 99,696.04

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Solution

The fourth proportional to 212,098.36, 318,147.60 and 99,696.04 is: 149,544.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,098.36 : 318,147.60 = 99,696.04 : x
  2. Step 2: Convert to fraction form
    212,098.36/318,147.60 = 99,696.04/x
  3. Step 3: Cross multiply
    212,098.36x = 318,147.60 × 99,696.04
  4. Step 4: Simplify right side
    212,098.36x = 31,718,055,855.50
  5. Step 5: Solve for x
    x = 31,718,055,855.50/212,098.36
  6. Step 6: Final answer
    x = 149,544.09

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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.