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Finding the Fourth Proportional to 30,412.80, 45,619.20 and 21,081.60

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Solution

The fourth proportional to 30,412.80, 45,619.20 and 21,081.60 is: 31,622.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,412.80 : 45,619.20 = 21,081.60 : x
  2. Step 2: Convert to fraction form
    30,412.80/45,619.20 = 21,081.60/x
  3. Step 3: Cross multiply
    30,412.80x = 45,619.20 × 21,081.60
  4. Step 4: Simplify right side
    30,412.80x = 961,725,726.72
  5. Step 5: Solve for x
    x = 961,725,726.72/30,412.80
  6. Step 6: Final answer
    x = 31,622.40

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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.