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Finding the Fourth Proportional to 51,254.70, 76,858.98 and 21,657.30

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Solution

The fourth proportional to 51,254.70, 76,858.98 and 21,657.30 is: 32,476.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,254.70 : 76,858.98 = 21,657.30 : x
  2. Step 2: Convert to fraction form
    51,254.70/76,858.98 = 21,657.30/x
  3. Step 3: Cross multiply
    51,254.70x = 76,858.98 × 21,657.30
  4. Step 4: Simplify right side
    51,254.70x = 1,664,557,987.55
  5. Step 5: Solve for x
    x = 1,664,557,987.55/51,254.70
  6. Step 6: Final answer
    x = 32,476.20

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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.