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Finding the Fourth Proportional to 209,993.70, 315,318.60 and 121,420.20

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Solution

The fourth proportional to 209,993.70, 315,318.60 and 121,420.20 is: 182,319.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,993.70 : 315,318.60 = 121,420.20 : x
  2. Step 2: Convert to fraction form
    209,993.70/315,318.60 = 121,420.20/x
  3. Step 3: Cross multiply
    209,993.70x = 315,318.60 × 121,420.20
  4. Step 4: Simplify right side
    209,993.70x = 38,286,047,475.72
  5. Step 5: Solve for x
    x = 38,286,047,475.72/209,993.70
  6. Step 6: Final answer
    x = 182,319.98

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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.