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Finding the Fourth Proportional to 200,782, 301,190.28 and 53,038

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Solution

The fourth proportional to 200,782, 301,190.28 and 53,038 is: 79,561.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,782 : 301,190.28 = 53,038 : x
  2. Step 2: Convert to fraction form
    200,782/301,190.28 = 53,038/x
  3. Step 3: Cross multiply
    200,782x = 301,190.28 × 53,038
  4. Step 4: Simplify right side
    200,782x = 15,974,530,070.64
  5. Step 5: Solve for x
    x = 15,974,530,070.64/200,782
  6. Step 6: Final answer
    x = 79,561.56

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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.