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Finding the Fourth Proportional to 51,852.72, 77,761.79 and 20,254.59

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Solution

The fourth proportional to 51,852.72, 77,761.79 and 20,254.59 is: 30,375.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,852.72 : 77,761.79 = 20,254.59 : x
  2. Step 2: Convert to fraction form
    51,852.72/77,761.79 = 20,254.59/x
  3. Step 3: Cross multiply
    51,852.72x = 77,761.79 × 20,254.59
  4. Step 4: Simplify right side
    51,852.72x = 1,575,033,072.84
  5. Step 5: Solve for x
    x = 1,575,033,072.84/51,852.72
  6. Step 6: Final answer
    x = 30,375.13

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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.