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Finding the Fourth Proportional to 209,696.90, 289,389.92 and 119,061.31

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Solution

The fourth proportional to 209,696.90, 289,389.92 and 119,061.31 is: 164,309.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,696.90 : 289,389.92 = 119,061.31 : x
  2. Step 2: Convert to fraction form
    209,696.90/289,389.92 = 119,061.31/x
  3. Step 3: Cross multiply
    209,696.90x = 289,389.92 × 119,061.31
  4. Step 4: Simplify right side
    209,696.90x = 34,455,142,199.82
  5. Step 5: Solve for x
    x = 34,455,142,199.82/209,696.90
  6. Step 6: Final answer
    x = 164,309.26

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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.