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Finding the Fourth Proportional to 201,117.80, 301,786.05 and 82,801.10

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Solution

The fourth proportional to 201,117.80, 301,786.05 and 82,801.10 is: 124,246.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,117.80 : 301,786.05 = 82,801.10 : x
  2. Step 2: Convert to fraction form
    201,117.80/301,786.05 = 82,801.10/x
  3. Step 3: Cross multiply
    201,117.80x = 301,786.05 × 82,801.10
  4. Step 4: Simplify right side
    201,117.80x = 24,988,216,904.66
  5. Step 5: Solve for x
    x = 24,988,216,904.66/201,117.80
  6. Step 6: Final answer
    x = 124,246.67

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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.