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Finding the Fourth Proportional to 51,006.76, 76,525.02 and 21,409

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Solution

The fourth proportional to 51,006.76, 76,525.02 and 21,409 is: 32,119.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,006.76 : 76,525.02 = 21,409 : x
  2. Step 2: Convert to fraction form
    51,006.76/76,525.02 = 21,409/x
  3. Step 3: Cross multiply
    51,006.76x = 76,525.02 × 21,409
  4. Step 4: Simplify right side
    51,006.76x = 1,638,324,153.18
  5. Step 5: Solve for x
    x = 1,638,324,153.18/51,006.76
  6. Step 6: Final answer
    x = 32,119.75

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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.