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Finding the Fourth Proportional to 140,940, 194,479.38 and 77,261.04

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Solution

The fourth proportional to 140,940, 194,479.38 and 77,261.04 is: 106,610.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,940 : 194,479.38 = 77,261.04 : x
  2. Step 2: Convert to fraction form
    140,940/194,479.38 = 77,261.04/x
  3. Step 3: Cross multiply
    140,940x = 194,479.38 × 77,261.04
  4. Step 4: Simplify right side
    140,940x = 15,025,679,157.36
  5. Step 5: Solve for x
    x = 15,025,679,157.36/140,940
  6. Step 6: Final answer
    x = 106,610.47

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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.