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Finding the Fourth Proportional to 209,697.30, 289,372.38 and 119,041.29

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Solution

The fourth proportional to 209,697.30, 289,372.38 and 119,041.29 is: 164,271.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,697.30 : 289,372.38 = 119,041.29 : x
  2. Step 2: Convert to fraction form
    209,697.30/289,372.38 = 119,041.29/x
  3. Step 3: Cross multiply
    209,697.30x = 289,372.38 × 119,041.29
  4. Step 4: Simplify right side
    209,697.30x = 34,447,261,405.57
  5. Step 5: Solve for x
    x = 34,447,261,405.57/209,697.30
  6. Step 6: Final answer
    x = 164,271.36

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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.