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Finding the Fourth Proportional to 209,981.70, 315,300.60 and 121,408.20

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Solution

The fourth proportional to 209,981.70, 315,300.60 and 121,408.20 is: 182,301.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,981.70 : 315,300.60 = 121,408.20 : x
  2. Step 2: Convert to fraction form
    209,981.70/315,300.60 = 121,408.20/x
  3. Step 3: Cross multiply
    209,981.70x = 315,300.60 × 121,408.20
  4. Step 4: Simplify right side
    209,981.70x = 38,280,078,304.92
  5. Step 5: Solve for x
    x = 38,280,078,304.92/209,981.70
  6. Step 6: Final answer
    x = 182,301.97

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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.