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Finding the Fourth Proportional to 55,446, 76,515.48 and 33,090

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Solution

The fourth proportional to 55,446, 76,515.48 and 33,090 is: 45,664.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,446 : 76,515.48 = 33,090 : x
  2. Step 2: Convert to fraction form
    55,446/76,515.48 = 33,090/x
  3. Step 3: Cross multiply
    55,446x = 76,515.48 × 33,090
  4. Step 4: Simplify right side
    55,446x = 2,531,897,233.20
  5. Step 5: Solve for x
    x = 2,531,897,233.20/55,446
  6. Step 6: Final answer
    x = 45,664.20

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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.