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Finding the Fourth Proportional to 209,810.21, 314,717.47 and 167,956.34

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Solution

The fourth proportional to 209,810.21, 314,717.47 and 167,956.34 is: 251,936.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,810.21 : 314,717.47 = 167,956.34 : x
  2. Step 2: Convert to fraction form
    209,810.21/314,717.47 = 167,956.34/x
  3. Step 3: Cross multiply
    209,810.21x = 314,717.47 × 167,956.34
  4. Step 4: Simplify right side
    209,810.21x = 52,858,792,401.78
  5. Step 5: Solve for x
    x = 52,858,792,401.78/209,810.21
  6. Step 6: Final answer
    x = 251,936.23

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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.