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Finding the Fourth Proportional to 200,212, 276,301.20 and 110,788

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Solution

The fourth proportional to 200,212, 276,301.20 and 110,788 is: 152,892.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,212 : 276,301.20 = 110,788 : x
  2. Step 2: Convert to fraction form
    200,212/276,301.20 = 110,788/x
  3. Step 3: Cross multiply
    200,212x = 276,301.20 × 110,788
  4. Step 4: Simplify right side
    200,212x = 30,610,857,345.60
  5. Step 5: Solve for x
    x = 30,610,857,345.60/200,212
  6. Step 6: Final answer
    x = 152,892.22

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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.