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Finding the Fourth Proportional to 149,147.07, 205,822.98 and 82,079.07

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Solution

The fourth proportional to 149,147.07, 205,822.98 and 82,079.07 is: 113,269.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,147.07 : 205,822.98 = 82,079.07 : x
  2. Step 2: Convert to fraction form
    149,147.07/205,822.98 = 82,079.07/x
  3. Step 3: Cross multiply
    149,147.07x = 205,822.98 × 82,079.07
  4. Step 4: Simplify right side
    149,147.07x = 16,893,758,783.03
  5. Step 5: Solve for x
    x = 16,893,758,783.03/149,147.07
  6. Step 6: Final answer
    x = 113,269.13

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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.