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Finding the Fourth Proportional to 120,189, 179,914.44 and 75,607.01

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Solution

The fourth proportional to 120,189, 179,914.44 and 75,607.01 is: 113,178.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,189 : 179,914.44 = 75,607.01 : x
  2. Step 2: Convert to fraction form
    120,189/179,914.44 = 75,607.01/x
  3. Step 3: Cross multiply
    120,189x = 179,914.44 × 75,607.01
  4. Step 4: Simplify right side
    120,189x = 13,602,791,964.65
  5. Step 5: Solve for x
    x = 13,602,791,964.65/120,189
  6. Step 6: Final answer
    x = 113,178.34

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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.