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Finding the Fourth Proportional to 55,409.20, 82,996.80 and 36,698.20

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Solution

The fourth proportional to 55,409.20, 82,996.80 and 36,698.20 is: 54,969.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,409.20 : 82,996.80 = 36,698.20 : x
  2. Step 2: Convert to fraction form
    55,409.20/82,996.80 = 36,698.20/x
  3. Step 3: Cross multiply
    55,409.20x = 82,996.80 × 36,698.20
  4. Step 4: Simplify right side
    55,409.20x = 3,045,833,165.76
  5. Step 5: Solve for x
    x = 3,045,833,165.76/55,409.20
  6. Step 6: Final answer
    x = 54,969.81

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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.