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Finding the Fourth Proportional to 141,274.16, 194,961.90 and 77,617.88

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Solution

The fourth proportional to 141,274.16, 194,961.90 and 77,617.88 is: 107,114.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,274.16 : 194,961.90 = 77,617.88 : x
  2. Step 2: Convert to fraction form
    141,274.16/194,961.90 = 77,617.88/x
  3. Step 3: Cross multiply
    141,274.16x = 194,961.90 × 77,617.88
  4. Step 4: Simplify right side
    141,274.16x = 15,132,529,358.77
  5. Step 5: Solve for x
    x = 15,132,529,358.77/141,274.16
  6. Step 6: Final answer
    x = 107,114.63

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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.