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Finding the Fourth Proportional to 55,445, 76,514.10 and 33,089

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Solution

The fourth proportional to 55,445, 76,514.10 and 33,089 is: 45,662.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,445 : 76,514.10 = 33,089 : x
  2. Step 2: Convert to fraction form
    55,445/76,514.10 = 33,089/x
  3. Step 3: Cross multiply
    55,445x = 76,514.10 × 33,089
  4. Step 4: Simplify right side
    55,445x = 2,531,775,054.90
  5. Step 5: Solve for x
    x = 2,531,775,054.90/55,445
  6. Step 6: Final answer
    x = 45,662.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.