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Finding the Fourth Proportional to 209,520, 289,137.60 and 120,147.84

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Solution

The fourth proportional to 209,520, 289,137.60 and 120,147.84 is: 165,804.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,520 : 289,137.60 = 120,147.84 : x
  2. Step 2: Convert to fraction form
    209,520/289,137.60 = 120,147.84/x
  3. Step 3: Cross multiply
    209,520x = 289,137.60 × 120,147.84
  4. Step 4: Simplify right side
    209,520x = 34,739,258,102.78
  5. Step 5: Solve for x
    x = 34,739,258,102.78/209,520
  6. Step 6: Final answer
    x = 165,804.02

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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.