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Finding the Fourth Proportional to 201,510.88, 301,851.36 and 118,204

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Solution

The fourth proportional to 201,510.88, 301,851.36 and 118,204 is: 177,062.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,510.88 : 301,851.36 = 118,204 : x
  2. Step 2: Convert to fraction form
    201,510.88/301,851.36 = 118,204/x
  3. Step 3: Cross multiply
    201,510.88x = 301,851.36 × 118,204
  4. Step 4: Simplify right side
    201,510.88x = 35,680,038,157.44
  5. Step 5: Solve for x
    x = 35,680,038,157.44/201,510.88
  6. Step 6: Final answer
    x = 177,062.59

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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.