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Finding the Fourth Proportional to 199,516.64, 299,323.76 and 66,396.64

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Solution

The fourth proportional to 199,516.64, 299,323.76 and 66,396.64 is: 99,611.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,516.64 : 299,323.76 = 66,396.64 : x
  2. Step 2: Convert to fraction form
    199,516.64/299,323.76 = 66,396.64/x
  3. Step 3: Cross multiply
    199,516.64x = 299,323.76 × 66,396.64
  4. Step 4: Simplify right side
    199,516.64x = 19,874,091,936.17
  5. Step 5: Solve for x
    x = 19,874,091,936.17/199,516.64
  6. Step 6: Final answer
    x = 99,611.20

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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.