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Finding the Fourth Proportional to 51,005.76, 76,523.52 and 21,408

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Solution

The fourth proportional to 51,005.76, 76,523.52 and 21,408 is: 32,118.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,005.76 : 76,523.52 = 21,408 : x
  2. Step 2: Convert to fraction form
    51,005.76/76,523.52 = 21,408/x
  3. Step 3: Cross multiply
    51,005.76x = 76,523.52 × 21,408
  4. Step 4: Simplify right side
    51,005.76x = 1,638,215,516.16
  5. Step 5: Solve for x
    x = 1,638,215,516.16/51,005.76
  6. Step 6: Final answer
    x = 32,118.25

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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.