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Finding the Fourth Proportional to 200,780, 301,187.28 and 53,036

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Solution

The fourth proportional to 200,780, 301,187.28 and 53,036 is: 79,558.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,780 : 301,187.28 = 53,036 : x
  2. Step 2: Convert to fraction form
    200,780/301,187.28 = 53,036/x
  3. Step 3: Cross multiply
    200,780x = 301,187.28 × 53,036
  4. Step 4: Simplify right side
    200,780x = 15,973,768,582.08
  5. Step 5: Solve for x
    x = 15,973,768,582.08/200,780
  6. Step 6: Final answer
    x = 79,558.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.