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Finding the Fourth Proportional to 140,966, 194,515.20 and 77,287.04

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Solution

The fourth proportional to 140,966, 194,515.20 and 77,287.04 is: 106,646.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,966 : 194,515.20 = 77,287.04 : x
  2. Step 2: Convert to fraction form
    140,966/194,515.20 = 77,287.04/x
  3. Step 3: Cross multiply
    140,966x = 194,515.20 × 77,287.04
  4. Step 4: Simplify right side
    140,966x = 15,033,504,043.01
  5. Step 5: Solve for x
    x = 15,033,504,043.01/140,966
  6. Step 6: Final answer
    x = 106,646.31

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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.