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Finding the Fourth Proportional to 120,708.69, 181,069.95 and 31,959.89

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Solution

The fourth proportional to 120,708.69, 181,069.95 and 31,959.89 is: 47,941.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,708.69 : 181,069.95 = 31,959.89 : x
  2. Step 2: Convert to fraction form
    120,708.69/181,069.95 = 31,959.89/x
  3. Step 3: Cross multiply
    120,708.69x = 181,069.95 × 31,959.89
  4. Step 4: Simplify right side
    120,708.69x = 5,786,975,684.31
  5. Step 5: Solve for x
    x = 5,786,975,684.31/120,708.69
  6. Step 6: Final answer
    x = 47,941.67

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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.