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Finding the Fourth Proportional to 54,937.60, 82,406.40 and 13,384.60

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Solution

The fourth proportional to 54,937.60, 82,406.40 and 13,384.60 is: 20,076.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,937.60 : 82,406.40 = 13,384.60 : x
  2. Step 2: Convert to fraction form
    54,937.60/82,406.40 = 13,384.60/x
  3. Step 3: Cross multiply
    54,937.60x = 82,406.40 × 13,384.60
  4. Step 4: Simplify right side
    54,937.60x = 1,102,976,701.44
  5. Step 5: Solve for x
    x = 1,102,976,701.44/54,937.60
  6. Step 6: Final answer
    x = 20,076.90

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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.