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Finding the Fourth Proportional to 209,969.55, 314,954.33 and 115,163.10

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Solution

The fourth proportional to 209,969.55, 314,954.33 and 115,163.10 is: 172,744.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,969.55 : 314,954.33 = 115,163.10 : x
  2. Step 2: Convert to fraction form
    209,969.55/314,954.33 = 115,163.10/x
  3. Step 3: Cross multiply
    209,969.55x = 314,954.33 × 115,163.10
  4. Step 4: Simplify right side
    209,969.55x = 36,271,116,425.41
  5. Step 5: Solve for x
    x = 36,271,116,425.41/209,969.55
  6. Step 6: Final answer
    x = 172,744.65

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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.