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Finding the Fourth Proportional to 140,941.22, 194,504.49 and 77,281.29

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Solution

The fourth proportional to 140,941.22, 194,504.49 and 77,281.29 is: 106,651.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,941.22 : 194,504.49 = 77,281.29 : x
  2. Step 2: Convert to fraction form
    140,941.22/194,504.49 = 77,281.29/x
  3. Step 3: Cross multiply
    140,941.22x = 194,504.49 × 77,281.29
  4. Step 4: Simplify right side
    140,941.22x = 15,031,557,897.99
  5. Step 5: Solve for x
    x = 15,031,557,897.99/140,941.22
  6. Step 6: Final answer
    x = 106,651.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.