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Finding the Fourth Proportional to 200,785.84, 301,028.94 and 120,805.06

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Solution

The fourth proportional to 200,785.84, 301,028.94 and 120,805.06 is: 181,117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,785.84 : 301,028.94 = 120,805.06 : x
  2. Step 2: Convert to fraction form
    200,785.84/301,028.94 = 120,805.06/x
  3. Step 3: Cross multiply
    200,785.84x = 301,028.94 × 120,805.06
  4. Step 4: Simplify right side
    200,785.84x = 36,365,819,158.44
  5. Step 5: Solve for x
    x = 36,365,819,158.44/200,785.84
  6. Step 6: Final answer
    x = 181,117.45

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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.