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Finding the Fourth Proportional to 209,903.36, 289,674.47 and 119,274.71

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Solution

The fourth proportional to 209,903.36, 289,674.47 and 119,274.71 is: 164,603.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,903.36 : 289,674.47 = 119,274.71 : x
  2. Step 2: Convert to fraction form
    209,903.36/289,674.47 = 119,274.71/x
  3. Step 3: Cross multiply
    209,903.36x = 289,674.47 × 119,274.71
  4. Step 4: Simplify right side
    209,903.36x = 34,550,837,807.28
  5. Step 5: Solve for x
    x = 34,550,837,807.28/209,903.36
  6. Step 6: Final answer
    x = 164,603.55

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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.