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Finding the Fourth Proportional to 200,813.61, 301,028.31 and 74,419.91

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Solution

The fourth proportional to 200,813.61, 301,028.31 and 74,419.91 is: 111,558.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,813.61 : 301,028.31 = 74,419.91 : x
  2. Step 2: Convert to fraction form
    200,813.61/301,028.31 = 74,419.91/x
  3. Step 3: Cross multiply
    200,813.61x = 301,028.31 × 74,419.91
  4. Step 4: Simplify right side
    200,813.61x = 22,402,498,232.51
  5. Step 5: Solve for x
    x = 22,402,498,232.51/200,813.61
  6. Step 6: Final answer
    x = 111,558.66

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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.