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Finding the Fourth Proportional to 216,018, 324,013.24 and 81,055.44

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Solution

The fourth proportional to 216,018, 324,013.24 and 81,055.44 is: 121,578.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,018 : 324,013.24 = 81,055.44 : x
  2. Step 2: Convert to fraction form
    216,018/324,013.24 = 81,055.44/x
  3. Step 3: Cross multiply
    216,018x = 324,013.24 × 81,055.44
  4. Step 4: Simplify right side
    216,018x = 26,263,035,734.03
  5. Step 5: Solve for x
    x = 26,263,035,734.03/216,018
  6. Step 6: Final answer
    x = 121,578.00

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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.