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Finding the Fourth Proportional to 229,138.80, 343,570.14 and 102,756.21

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Solution

The fourth proportional to 229,138.80, 343,570.14 and 102,756.21 is: 154,072.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,138.80 : 343,570.14 = 102,756.21 : x
  2. Step 2: Convert to fraction form
    229,138.80/343,570.14 = 102,756.21/x
  3. Step 3: Cross multiply
    229,138.80x = 343,570.14 × 102,756.21
  4. Step 4: Simplify right side
    229,138.80x = 35,303,965,455.57
  5. Step 5: Solve for x
    x = 35,303,965,455.57/229,138.80
  6. Step 6: Final answer
    x = 154,072.40

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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.