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Finding the Fourth Proportional to 120,239, 180,388.20 and 37,133

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Solution

The fourth proportional to 120,239, 180,388.20 and 37,133 is: 55,708.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,239 : 180,388.20 = 37,133 : x
  2. Step 2: Convert to fraction form
    120,239/180,388.20 = 37,133/x
  3. Step 3: Cross multiply
    120,239x = 180,388.20 × 37,133
  4. Step 4: Simplify right side
    120,239x = 6,698,355,030.60
  5. Step 5: Solve for x
    x = 6,698,355,030.60/120,239
  6. Step 6: Final answer
    x = 55,708.67

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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.