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Finding the Fourth Proportional to 140,023.98, 209,974.14 and 40,161.51

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Solution

The fourth proportional to 140,023.98, 209,974.14 and 40,161.51 is: 60,224.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,023.98 : 209,974.14 = 40,161.51 : x
  2. Step 2: Convert to fraction form
    140,023.98/209,974.14 = 40,161.51/x
  3. Step 3: Cross multiply
    140,023.98x = 209,974.14 × 40,161.51
  4. Step 4: Simplify right side
    140,023.98x = 8,432,878,523.35
  5. Step 5: Solve for x
    x = 8,432,878,523.35/140,023.98
  6. Step 6: Final answer
    x = 60,224.53

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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.