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Finding the Fourth Proportional to 140,681.97, 194,133.69 and 77,007.42

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Solution

The fourth proportional to 140,681.97, 194,133.69 and 77,007.42 is: 106,266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,681.97 : 194,133.69 = 77,007.42 : x
  2. Step 2: Convert to fraction form
    140,681.97/194,133.69 = 77,007.42/x
  3. Step 3: Cross multiply
    140,681.97x = 194,133.69 × 77,007.42
  4. Step 4: Simplify right side
    140,681.97x = 14,949,734,601.98
  5. Step 5: Solve for x
    x = 14,949,734,601.98/140,681.97
  6. Step 6: Final answer
    x = 106,266.17

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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.