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Finding the Fourth Proportional to 201,860.51, 302,790.81 and 138,488.54

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Solution

The fourth proportional to 201,860.51, 302,790.81 and 138,488.54 is: 207,732.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,860.51 : 302,790.81 = 138,488.54 : x
  2. Step 2: Convert to fraction form
    201,860.51/302,790.81 = 138,488.54/x
  3. Step 3: Cross multiply
    201,860.51x = 302,790.81 × 138,488.54
  4. Step 4: Simplify right side
    201,860.51x = 41,933,055,428.70
  5. Step 5: Solve for x
    x = 41,933,055,428.70/201,860.51
  6. Step 6: Final answer
    x = 207,732.84

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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.