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Finding the Fourth Proportional to 209,954.70, 315,260.10 and 121,381.20

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Solution

The fourth proportional to 209,954.70, 315,260.10 and 121,381.20 is: 182,261.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,954.70 : 315,260.10 = 121,381.20 : x
  2. Step 2: Convert to fraction form
    209,954.70/315,260.10 = 121,381.20/x
  3. Step 3: Cross multiply
    209,954.70x = 315,260.10 × 121,381.20
  4. Step 4: Simplify right side
    209,954.70x = 38,266,649,250.12
  5. Step 5: Solve for x
    x = 38,266,649,250.12/209,954.70
  6. Step 6: Final answer
    x = 182,261.46

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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.