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Finding the Fourth Proportional to 209,969.31, 289,745.16 and 119,312.69

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Solution

The fourth proportional to 209,969.31, 289,745.16 and 119,312.69 is: 164,644.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,969.31 : 289,745.16 = 119,312.69 : x
  2. Step 2: Convert to fraction form
    209,969.31/289,745.16 = 119,312.69/x
  3. Step 3: Cross multiply
    209,969.31x = 289,745.16 × 119,312.69
  4. Step 4: Simplify right side
    209,969.31x = 34,570,274,445.43
  5. Step 5: Solve for x
    x = 34,570,274,445.43/209,969.31
  6. Step 6: Final answer
    x = 164,644.42

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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.