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Finding the Fourth Proportional to 55,638, 76,780.44 and 30,486.96

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Solution

The fourth proportional to 55,638, 76,780.44 and 30,486.96 is: 42,072.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,638 : 76,780.44 = 30,486.96 : x
  2. Step 2: Convert to fraction form
    55,638/76,780.44 = 30,486.96/x
  3. Step 3: Cross multiply
    55,638x = 76,780.44 × 30,486.96
  4. Step 4: Simplify right side
    55,638x = 2,340,802,203.06
  5. Step 5: Solve for x
    x = 2,340,802,203.06/55,638
  6. Step 6: Final answer
    x = 42,072.00

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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.