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Finding the Fourth Proportional to 201,815.70, 302,723.55 and 54,071.70

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Solution

The fourth proportional to 201,815.70, 302,723.55 and 54,071.70 is: 81,107.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,815.70 : 302,723.55 = 54,071.70 : x
  2. Step 2: Convert to fraction form
    201,815.70/302,723.55 = 54,071.70/x
  3. Step 3: Cross multiply
    201,815.70x = 302,723.55 × 54,071.70
  4. Step 4: Simplify right side
    201,815.70x = 16,368,776,978.54
  5. Step 5: Solve for x
    x = 16,368,776,978.54/201,815.70
  6. Step 6: Final answer
    x = 81,107.55

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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.