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Finding the Fourth Proportional to 200,048.32, 300,064.32 and 50,289.60

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Solution

The fourth proportional to 200,048.32, 300,064.32 and 50,289.60 is: 75,432.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,048.32 : 300,064.32 = 50,289.60 : x
  2. Step 2: Convert to fraction form
    200,048.32/300,064.32 = 50,289.60/x
  3. Step 3: Cross multiply
    200,048.32x = 300,064.32 × 50,289.60
  4. Step 4: Simplify right side
    200,048.32x = 15,090,114,627.07
  5. Step 5: Solve for x
    x = 15,090,114,627.07/200,048.32
  6. Step 6: Final answer
    x = 75,432.35

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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.