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Finding the Fourth Proportional to 54,708.60, 82,005.30 and 21,415.80

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Solution

The fourth proportional to 54,708.60, 82,005.30 and 21,415.80 is: 32,101.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,708.60 : 82,005.30 = 21,415.80 : x
  2. Step 2: Convert to fraction form
    54,708.60/82,005.30 = 21,415.80/x
  3. Step 3: Cross multiply
    54,708.60x = 82,005.30 × 21,415.80
  4. Step 4: Simplify right side
    54,708.60x = 1,756,209,103.74
  5. Step 5: Solve for x
    x = 1,756,209,103.74/54,708.60
  6. Step 6: Final answer
    x = 32,101.15

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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.