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Finding the Fourth Proportional to 209,855.39, 289,592 and 114,360.04

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Solution

The fourth proportional to 209,855.39, 289,592 and 114,360.04 is: 157,812.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,855.39 : 289,592 = 114,360.04 : x
  2. Step 2: Convert to fraction form
    209,855.39/289,592 = 114,360.04/x
  3. Step 3: Cross multiply
    209,855.39x = 289,592 × 114,360.04
  4. Step 4: Simplify right side
    209,855.39x = 33,117,752,703.68
  5. Step 5: Solve for x
    x = 33,117,752,703.68/209,855.39
  6. Step 6: Final answer
    x = 157,812.26

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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.