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Finding the Fourth Proportional to 209,620.53, 314,469.08 and 97,285.27

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Solution

The fourth proportional to 209,620.53, 314,469.08 and 97,285.27 is: 145,945.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,620.53 : 314,469.08 = 97,285.27 : x
  2. Step 2: Convert to fraction form
    209,620.53/314,469.08 = 97,285.27/x
  3. Step 3: Cross multiply
    209,620.53x = 314,469.08 × 97,285.27
  4. Step 4: Simplify right side
    209,620.53x = 30,593,209,354.45
  5. Step 5: Solve for x
    x = 30,593,209,354.45/209,620.53
  6. Step 6: Final answer
    x = 145,945.67

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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.