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Finding the Fourth Proportional to 200,388, 300,601.92 and 74,061.36

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Solution

The fourth proportional to 200,388, 300,601.92 and 74,061.36 is: 111,099.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,388 : 300,601.92 = 74,061.36 : x
  2. Step 2: Convert to fraction form
    200,388/300,601.92 = 74,061.36/x
  3. Step 3: Cross multiply
    200,388x = 300,601.92 × 74,061.36
  4. Step 4: Simplify right side
    200,388x = 22,262,987,013.81
  5. Step 5: Solve for x
    x = 22,262,987,013.81/200,388
  6. Step 6: Final answer
    x = 111,099.40

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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.