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Finding the Fourth Proportional to 200,021.76, 300,084.48 and 75,363.84

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Solution

The fourth proportional to 200,021.76, 300,084.48 and 75,363.84 is: 113,065.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,021.76 : 300,084.48 = 75,363.84 : x
  2. Step 2: Convert to fraction form
    200,021.76/300,084.48 = 75,363.84/x
  3. Step 3: Cross multiply
    200,021.76x = 300,084.48 × 75,363.84
  4. Step 4: Simplify right side
    200,021.76x = 22,615,518,737.20
  5. Step 5: Solve for x
    x = 22,615,518,737.20/200,021.76
  6. Step 6: Final answer
    x = 113,065.29

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1.5x scale

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.