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Finding the Fourth Proportional to 100,083.92, 138,111.75 and 59,819.90

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Solution

The fourth proportional to 100,083.92, 138,111.75 and 59,819.90 is: 82,549.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,083.92 : 138,111.75 = 59,819.90 : x
  2. Step 2: Convert to fraction form
    100,083.92/138,111.75 = 59,819.90/x
  3. Step 3: Cross multiply
    100,083.92x = 138,111.75 × 59,819.90
  4. Step 4: Simplify right side
    100,083.92x = 8,261,830,383.27
  5. Step 5: Solve for x
    x = 8,261,830,383.27/100,083.92
  6. Step 6: Final answer
    x = 82,549.03

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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.