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Finding the Fourth Proportional to 209,698.90, 289,392.68 and 119,063.31

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Solution

The fourth proportional to 209,698.90, 289,392.68 and 119,063.31 is: 164,312.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,698.90 : 289,392.68 = 119,063.31 : x
  2. Step 2: Convert to fraction form
    209,698.90/289,392.68 = 119,063.31/x
  3. Step 3: Cross multiply
    209,698.90x = 289,392.68 × 119,063.31
  4. Step 4: Simplify right side
    209,698.90x = 34,456,050,370.57
  5. Step 5: Solve for x
    x = 34,456,050,370.57/209,698.90
  6. Step 6: Final answer
    x = 164,312.02

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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.