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Finding the Fourth Proportional to 51,225.60, 76,848.84 and 21,643.44

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Solution

The fourth proportional to 51,225.60, 76,848.84 and 21,643.44 is: 32,469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,225.60 : 76,848.84 = 21,643.44 : x
  2. Step 2: Convert to fraction form
    51,225.60/76,848.84 = 21,643.44/x
  3. Step 3: Cross multiply
    51,225.60x = 76,848.84 × 21,643.44
  4. Step 4: Simplify right side
    51,225.60x = 1,663,273,257.61
  5. Step 5: Solve for x
    x = 1,663,273,257.61/51,225.60
  6. Step 6: Final answer
    x = 32,469.57

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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.