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Finding the Fourth Proportional to 209,903.11, 289,674.12 and 119,274.46

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Solution

The fourth proportional to 209,903.11, 289,674.12 and 119,274.46 is: 164,603.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,903.11 : 289,674.12 = 119,274.46 : x
  2. Step 2: Convert to fraction form
    209,903.11/289,674.12 = 119,274.46/x
  3. Step 3: Cross multiply
    209,903.11x = 289,674.12 × 119,274.46
  4. Step 4: Simplify right side
    209,903.11x = 34,550,724,238.98
  5. Step 5: Solve for x
    x = 34,550,724,238.98/209,903.11
  6. Step 6: Final answer
    x = 164,603.20

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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.