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Finding the Fourth Proportional to 200,785.34, 301,028.19 and 120,804.56

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Solution

The fourth proportional to 200,785.34, 301,028.19 and 120,804.56 is: 181,116.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,785.34 : 301,028.19 = 120,804.56 : x
  2. Step 2: Convert to fraction form
    200,785.34/301,028.19 = 120,804.56/x
  3. Step 3: Cross multiply
    200,785.34x = 301,028.19 × 120,804.56
  4. Step 4: Simplify right side
    200,785.34x = 36,365,578,040.55
  5. Step 5: Solve for x
    x = 36,365,578,040.55/200,785.34
  6. Step 6: Final answer
    x = 181,116.70

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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.