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Finding the Fourth Proportional to 205,874.88, 308,862.30 and 65,633.40

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Solution

The fourth proportional to 205,874.88, 308,862.30 and 65,633.40 is: 98,466.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,874.88 : 308,862.30 = 65,633.40 : x
  2. Step 2: Convert to fraction form
    205,874.88/308,862.30 = 65,633.40/x
  3. Step 3: Cross multiply
    205,874.88x = 308,862.30 × 65,633.40
  4. Step 4: Simplify right side
    205,874.88x = 20,271,682,880.82
  5. Step 5: Solve for x
    x = 20,271,682,880.82/205,874.88
  6. Step 6: Final answer
    x = 98,466.03

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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.