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Finding the Fourth Proportional to 54,965.70, 82,448.55 and 13,412.70

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Solution

The fourth proportional to 54,965.70, 82,448.55 and 13,412.70 is: 20,119.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,965.70 : 82,448.55 = 13,412.70 : x
  2. Step 2: Convert to fraction form
    54,965.70/82,448.55 = 13,412.70/x
  3. Step 3: Cross multiply
    54,965.70x = 82,448.55 × 13,412.70
  4. Step 4: Simplify right side
    54,965.70x = 1,105,857,666.59
  5. Step 5: Solve for x
    x = 1,105,857,666.59/54,965.70
  6. Step 6: Final answer
    x = 20,119.05

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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.