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Finding the Fourth Proportional to 54,698.80, 82,066.40 and 19,641.20

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Solution

The fourth proportional to 54,698.80, 82,066.40 and 19,641.20 is: 29,468.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,698.80 : 82,066.40 = 19,641.20 : x
  2. Step 2: Convert to fraction form
    54,698.80/82,066.40 = 19,641.20/x
  3. Step 3: Cross multiply
    54,698.80x = 82,066.40 × 19,641.20
  4. Step 4: Simplify right side
    54,698.80x = 1,611,882,575.68
  5. Step 5: Solve for x
    x = 1,611,882,575.68/54,698.80
  6. Step 6: Final answer
    x = 29,468.34

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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.