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Finding the Fourth Proportional to 100,546, 138,753.52 and 55,834

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Solution

The fourth proportional to 100,546, 138,753.52 and 55,834 is: 77,050.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,546 : 138,753.52 = 55,834 : x
  2. Step 2: Convert to fraction form
    100,546/138,753.52 = 55,834/x
  3. Step 3: Cross multiply
    100,546x = 138,753.52 × 55,834
  4. Step 4: Simplify right side
    100,546x = 7,747,164,035.68
  5. Step 5: Solve for x
    x = 7,747,164,035.68/100,546
  6. Step 6: Final answer
    x = 77,050.94

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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.