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Finding the Fourth Proportional to 140,961, 211,442.20 and 35,780

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Solution

The fourth proportional to 140,961, 211,442.20 and 35,780 is: 53,670.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,961 : 211,442.20 = 35,780 : x
  2. Step 2: Convert to fraction form
    140,961/211,442.20 = 35,780/x
  3. Step 3: Cross multiply
    140,961x = 211,442.20 × 35,780
  4. Step 4: Simplify right side
    140,961x = 7,565,401,916
  5. Step 5: Solve for x
    x = 7,565,401,916/140,961
  6. Step 6: Final answer
    x = 53,670.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.