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Finding the Fourth Proportional to 201,030.78, 301,546.20 and 53,286.78

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Solution

The fourth proportional to 201,030.78, 301,546.20 and 53,286.78 is: 79,930.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,030.78 : 301,546.20 = 53,286.78 : x
  2. Step 2: Convert to fraction form
    201,030.78/301,546.20 = 53,286.78/x
  3. Step 3: Cross multiply
    201,030.78x = 301,546.20 × 53,286.78
  4. Step 4: Simplify right side
    201,030.78x = 16,068,426,019.24
  5. Step 5: Solve for x
    x = 16,068,426,019.24/201,030.78
  6. Step 6: Final answer
    x = 79,930.18

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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.