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Finding the Fourth Proportional to 200,602.68, 276,822 and 120,074.64

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Solution

The fourth proportional to 200,602.68, 276,822 and 120,074.64 is: 165,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,602.68 : 276,822 = 120,074.64 : x
  2. Step 2: Convert to fraction form
    200,602.68/276,822 = 120,074.64/x
  3. Step 3: Cross multiply
    200,602.68x = 276,822 × 120,074.64
  4. Step 4: Simplify right side
    200,602.68x = 33,239,301,994.08
  5. Step 5: Solve for x
    x = 33,239,301,994.08/200,602.68
  6. Step 6: Final answer
    x = 165,697.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.