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Finding the Fourth Proportional to 54,698.50, 82,014.90 and 21,378.86

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Solution

The fourth proportional to 54,698.50, 82,014.90 and 21,378.86 is: 32,055.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,698.50 : 82,014.90 = 21,378.86 : x
  2. Step 2: Convert to fraction form
    54,698.50/82,014.90 = 21,378.86/x
  3. Step 3: Cross multiply
    54,698.50x = 82,014.90 × 21,378.86
  4. Step 4: Simplify right side
    54,698.50x = 1,753,384,654.94
  5. Step 5: Solve for x
    x = 1,753,384,654.94/54,698.50
  6. Step 6: Final answer
    x = 32,055.45

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1.5x scale

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.