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Finding the Fourth Proportional to 51,852.60, 77,761.60 and 20,254.47

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Solution

The fourth proportional to 51,852.60, 77,761.60 and 20,254.47 is: 30,374.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,852.60 : 77,761.60 = 20,254.47 : x
  2. Step 2: Convert to fraction form
    51,852.60/77,761.60 = 20,254.47/x
  3. Step 3: Cross multiply
    51,852.60x = 77,761.60 × 20,254.47
  4. Step 4: Simplify right side
    51,852.60x = 1,575,019,504.27
  5. Step 5: Solve for x
    x = 1,575,019,504.27/51,852.60
  6. Step 6: Final answer
    x = 30,374.94

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1.5x scale

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.