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Finding the Fourth Proportional to 133,851.12, 201,087.70 and 78,486

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Solution

The fourth proportional to 133,851.12, 201,087.70 and 78,486 is: 117,911.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,851.12 : 201,087.70 = 78,486 : x
  2. Step 2: Convert to fraction form
    133,851.12/201,087.70 = 78,486/x
  3. Step 3: Cross multiply
    133,851.12x = 201,087.70 × 78,486
  4. Step 4: Simplify right side
    133,851.12x = 15,782,569,222.20
  5. Step 5: Solve for x
    x = 15,782,569,222.20/133,851.12
  6. Step 6: Final answer
    x = 117,911.37

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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.