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Finding the Fourth Proportional to 131,005, 180,816.06 and 83,249.02

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Solution

The fourth proportional to 131,005, 180,816.06 and 83,249.02 is: 114,902.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,005 : 180,816.06 = 83,249.02 : x
  2. Step 2: Convert to fraction form
    131,005/180,816.06 = 83,249.02/x
  3. Step 3: Cross multiply
    131,005x = 180,816.06 × 83,249.02
  4. Step 4: Simplify right side
    131,005x = 15,052,759,795.26
  5. Step 5: Solve for x
    x = 15,052,759,795.26/131,005
  6. Step 6: Final answer
    x = 114,902.18

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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.