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Finding the Fourth Proportional to 218,305, 327,457.66 and 87,069.16

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Solution

The fourth proportional to 218,305, 327,457.66 and 87,069.16 is: 130,603.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,305 : 327,457.66 = 87,069.16 : x
  2. Step 2: Convert to fraction form
    218,305/327,457.66 = 87,069.16/x
  3. Step 3: Cross multiply
    218,305x = 327,457.66 × 87,069.16
  4. Step 4: Simplify right side
    218,305x = 28,511,463,391.77
  5. Step 5: Solve for x
    x = 28,511,463,391.77/218,305
  6. Step 6: Final answer
    x = 130,603.80

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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.