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Finding the Fourth Proportional to 120,698.20, 181,133.70 and 68,051.80

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Solution

The fourth proportional to 120,698.20, 181,133.70 and 68,051.80 is: 102,126.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,698.20 : 181,133.70 = 68,051.80 : x
  2. Step 2: Convert to fraction form
    120,698.20/181,133.70 = 68,051.80/x
  3. Step 3: Cross multiply
    120,698.20x = 181,133.70 × 68,051.80
  4. Step 4: Simplify right side
    120,698.20x = 12,326,474,325.66
  5. Step 5: Solve for x
    x = 12,326,474,325.66/120,698.20
  6. Step 6: Final answer
    x = 102,126.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.