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Finding the Fourth Proportional to 55,291.82, 82,962.23 and 28,990.31

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Solution

The fourth proportional to 55,291.82, 82,962.23 and 28,990.31 is: 43,498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,291.82 : 82,962.23 = 28,990.31 : x
  2. Step 2: Convert to fraction form
    55,291.82/82,962.23 = 28,990.31/x
  3. Step 3: Cross multiply
    55,291.82x = 82,962.23 × 28,990.31
  4. Step 4: Simplify right side
    55,291.82x = 2,405,100,206.23
  5. Step 5: Solve for x
    x = 2,405,100,206.23/55,291.82
  6. Step 6: Final answer
    x = 43,498.30

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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.