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Finding the Fourth Proportional to 141,136.40, 194,770.44 and 77,480

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Solution

The fourth proportional to 141,136.40, 194,770.44 and 77,480 is: 106,923.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,136.40 : 194,770.44 = 77,480 : x
  2. Step 2: Convert to fraction form
    141,136.40/194,770.44 = 77,480/x
  3. Step 3: Cross multiply
    141,136.40x = 194,770.44 × 77,480
  4. Step 4: Simplify right side
    141,136.40x = 15,090,813,691.20
  5. Step 5: Solve for x
    x = 15,090,813,691.20/141,136.40
  6. Step 6: Final answer
    x = 106,923.61

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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.