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Finding the Fourth Proportional to 67,833, 101,749.68 and 21,085.92

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Solution

The fourth proportional to 67,833, 101,749.68 and 21,085.92 is: 31,628.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,833 : 101,749.68 = 21,085.92 : x
  2. Step 2: Convert to fraction form
    67,833/101,749.68 = 21,085.92/x
  3. Step 3: Cross multiply
    67,833x = 101,749.68 × 21,085.92
  4. Step 4: Simplify right side
    67,833x = 2,145,485,612.51
  5. Step 5: Solve for x
    x = 2,145,485,612.51/67,833
  6. Step 6: Final answer
    x = 31,628.94

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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.