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Finding the Fourth Proportional to 209,778, 289,483.52 and 119,121.99

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Solution

The fourth proportional to 209,778, 289,483.52 and 119,121.99 is: 164,382.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,778 : 289,483.52 = 119,121.99 : x
  2. Step 2: Convert to fraction form
    209,778/289,483.52 = 119,121.99/x
  3. Step 3: Cross multiply
    209,778x = 289,483.52 × 119,121.99
  4. Step 4: Simplify right side
    209,778x = 34,483,852,378.99
  5. Step 5: Solve for x
    x = 34,483,852,378.99/209,778
  6. Step 6: Final answer
    x = 164,382.60

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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.