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Finding the Fourth Proportional to 200,720.68, 301,081.16 and 50,972.20

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Solution

The fourth proportional to 200,720.68, 301,081.16 and 50,972.20 is: 76,458.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,720.68 : 301,081.16 = 50,972.20 : x
  2. Step 2: Convert to fraction form
    200,720.68/301,081.16 = 50,972.20/x
  3. Step 3: Cross multiply
    200,720.68x = 301,081.16 × 50,972.20
  4. Step 4: Simplify right side
    200,720.68x = 15,346,769,103.75
  5. Step 5: Solve for x
    x = 15,346,769,103.75/200,720.68
  6. Step 6: Final answer
    x = 76,458.34

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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.