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Finding the Fourth Proportional to 260,172, 359,039.52 and 140,940

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Solution

The fourth proportional to 260,172, 359,039.52 and 140,940 is: 194,498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,172 : 359,039.52 = 140,940 : x
  2. Step 2: Convert to fraction form
    260,172/359,039.52 = 140,940/x
  3. Step 3: Cross multiply
    260,172x = 359,039.52 × 140,940
  4. Step 4: Simplify right side
    260,172x = 50,603,029,948.80
  5. Step 5: Solve for x
    x = 50,603,029,948.80/260,172
  6. Step 6: Final answer
    x = 194,498.37

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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.