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Finding the Fourth Proportional to 218,010, 327,005.80 and 75,887.66

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Solution

The fourth proportional to 218,010, 327,005.80 and 75,887.66 is: 113,828.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,010 : 327,005.80 = 75,887.66 : x
  2. Step 2: Convert to fraction form
    218,010/327,005.80 = 75,887.66/x
  3. Step 3: Cross multiply
    218,010x = 327,005.80 × 75,887.66
  4. Step 4: Simplify right side
    218,010x = 24,815,704,968.43
  5. Step 5: Solve for x
    x = 24,815,704,968.43/218,010
  6. Step 6: Final answer
    x = 113,828.29

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1.5x scale

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.