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Finding the Fourth Proportional to 83,212, 124,818 and 27,808

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Solution

The fourth proportional to 83,212, 124,818 and 27,808 is: 41,712

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,212 : 124,818 = 27,808 : x
  2. Step 2: Convert to fraction form
    83,212/124,818 = 27,808/x
  3. Step 3: Cross multiply
    83,212x = 124,818 × 27,808
  4. Step 4: Simplify right side
    83,212x = 3,470,938,944
  5. Step 5: Solve for x
    x = 3,470,938,944/83,212
  6. Step 6: Final answer
    x = 41,712

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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.