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Finding the Fourth Proportional to 207,705.10, 311,442.45 and 82,905.10

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Solution

The fourth proportional to 207,705.10, 311,442.45 and 82,905.10 is: 124,311.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,705.10 : 311,442.45 = 82,905.10 : x
  2. Step 2: Convert to fraction form
    207,705.10/311,442.45 = 82,905.10/x
  3. Step 3: Cross multiply
    207,705.10x = 311,442.45 × 82,905.10
  4. Step 4: Simplify right side
    207,705.10x = 25,820,167,461.50
  5. Step 5: Solve for x
    x = 25,820,167,461.50/207,705.10
  6. Step 6: Final answer
    x = 124,311.67

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1.5x scale

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.