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Finding the Fourth Proportional to 260,100, 358,938 and 140,868

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Solution

The fourth proportional to 260,100, 358,938 and 140,868 is: 194,397.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,100 : 358,938 = 140,868 : x
  2. Step 2: Convert to fraction form
    260,100/358,938 = 140,868/x
  3. Step 3: Cross multiply
    260,100x = 358,938 × 140,868
  4. Step 4: Simplify right side
    260,100x = 50,562,878,184
  5. Step 5: Solve for x
    x = 50,562,878,184/260,100
  6. Step 6: Final answer
    x = 194,397.84

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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.