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Finding the Fourth Proportional to 216,264, 324,558.36 and 81,461.07

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Solution

The fourth proportional to 216,264, 324,558.36 and 81,461.07 is: 122,252.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,264 : 324,558.36 = 81,461.07 : x
  2. Step 2: Convert to fraction form
    216,264/324,558.36 = 81,461.07/x
  3. Step 3: Cross multiply
    216,264x = 324,558.36 × 81,461.07
  4. Step 4: Simplify right side
    216,264x = 26,438,871,283.05
  5. Step 5: Solve for x
    x = 26,438,871,283.05/216,264
  6. Step 6: Final answer
    x = 122,252.76

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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.