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Finding the Fourth Proportional to 201,862.47, 302,567.39 and 81,891.54

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Solution

The fourth proportional to 201,862.47, 302,567.39 and 81,891.54 is: 122,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,862.47 : 302,567.39 = 81,891.54 : x
  2. Step 2: Convert to fraction form
    201,862.47/302,567.39 = 81,891.54/x
  3. Step 3: Cross multiply
    201,862.47x = 302,567.39 × 81,891.54
  4. Step 4: Simplify right side
    201,862.47x = 24,777,709,111.42
  5. Step 5: Solve for x
    x = 24,777,709,111.42/201,862.47
  6. Step 6: Final answer
    x = 122,745.50

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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.