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Finding the Fourth Proportional to 207,505.10, 311,294.10 and 74,462.60

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Solution

The fourth proportional to 207,505.10, 311,294.10 and 74,462.60 is: 111,706.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,505.10 : 311,294.10 = 74,462.60 : x
  2. Step 2: Convert to fraction form
    207,505.10/311,294.10 = 74,462.60/x
  3. Step 3: Cross multiply
    207,505.10x = 311,294.10 × 74,462.60
  4. Step 4: Simplify right side
    207,505.10x = 23,179,768,050.66
  5. Step 5: Solve for x
    x = 23,179,768,050.66/207,505.10
  6. Step 6: Final answer
    x = 111,706.98

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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.