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Finding the Fourth Proportional to 55,261.71, 82,900.77 and 19,720.26

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Solution

The fourth proportional to 55,261.71, 82,900.77 and 19,720.26 is: 29,583.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,261.71 : 82,900.77 = 19,720.26 : x
  2. Step 2: Convert to fraction form
    55,261.71/82,900.77 = 19,720.26/x
  3. Step 3: Cross multiply
    55,261.71x = 82,900.77 × 19,720.26
  4. Step 4: Simplify right side
    55,261.71x = 1,634,824,738.60
  5. Step 5: Solve for x
    x = 1,634,824,738.60/55,261.71
  6. Step 6: Final answer
    x = 29,583.32

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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.