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Finding the Fourth Proportional to 215,805.90, 323,802.14 and 115,849.37

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Solution

The fourth proportional to 215,805.90, 323,802.14 and 115,849.37 is: 173,824.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,805.90 : 323,802.14 = 115,849.37 : x
  2. Step 2: Convert to fraction form
    215,805.90/323,802.14 = 115,849.37/x
  3. Step 3: Cross multiply
    215,805.90x = 323,802.14 × 115,849.37
  4. Step 4: Simplify right side
    215,805.90x = 37,512,271,725.39
  5. Step 5: Solve for x
    x = 37,512,271,725.39/215,805.90
  6. Step 6: Final answer
    x = 173,824.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.