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Finding the Fourth Proportional to 141,274.32, 194,958.63 and 77,616.21

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Solution

The fourth proportional to 141,274.32, 194,958.63 and 77,616.21 is: 107,110.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,274.32 : 194,958.63 = 77,616.21 : x
  2. Step 2: Convert to fraction form
    141,274.32/194,958.63 = 77,616.21/x
  3. Step 3: Cross multiply
    141,274.32x = 194,958.63 × 77,616.21
  4. Step 4: Simplify right side
    141,274.32x = 15,131,949,967.39
  5. Step 5: Solve for x
    x = 15,131,949,967.39/141,274.32
  6. Step 6: Final answer
    x = 107,110.41

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