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Finding the Fourth Proportional to 200,409.36, 300,623.36 and 111,595.90

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Solution

The fourth proportional to 200,409.36, 300,623.36 and 111,595.90 is: 167,399.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,409.36 : 300,623.36 = 111,595.90 : x
  2. Step 2: Convert to fraction form
    200,409.36/300,623.36 = 111,595.90/x
  3. Step 3: Cross multiply
    200,409.36x = 300,623.36 × 111,595.90
  4. Step 4: Simplify right side
    200,409.36x = 33,548,334,420.22
  5. Step 5: Solve for x
    x = 33,548,334,420.22/200,409.36
  6. Step 6: Final answer
    x = 167,399.04

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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.