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Finding the Fourth Proportional to 216,159, 324,239.94 and 68,415

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Solution

The fourth proportional to 216,159, 324,239.94 and 68,415 is: 102,622.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,159 : 324,239.94 = 68,415 : x
  2. Step 2: Convert to fraction form
    216,159/324,239.94 = 68,415/x
  3. Step 3: Cross multiply
    216,159x = 324,239.94 × 68,415
  4. Step 4: Simplify right side
    216,159x = 22,182,875,495.10
  5. Step 5: Solve for x
    x = 22,182,875,495.10/216,159
  6. Step 6: Final answer
    x = 102,622.96

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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.