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Finding the Fourth Proportional to 45,200.40, 67,800.60 and 21,829.20

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Solution

The fourth proportional to 45,200.40, 67,800.60 and 21,829.20 is: 32,743.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,200.40 : 67,800.60 = 21,829.20 : x
  2. Step 2: Convert to fraction form
    45,200.40/67,800.60 = 21,829.20/x
  3. Step 3: Cross multiply
    45,200.40x = 67,800.60 × 21,829.20
  4. Step 4: Simplify right side
    45,200.40x = 1,480,032,857.52
  5. Step 5: Solve for x
    x = 1,480,032,857.52/45,200.40
  6. Step 6: Final answer
    x = 32,743.80

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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.