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Finding the Fourth Proportional to 48,784.40, 73,179.80 and 13,725.20

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Solution

The fourth proportional to 48,784.40, 73,179.80 and 13,725.20 is: 20,588.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,784.40 : 73,179.80 = 13,725.20 : x
  2. Step 2: Convert to fraction form
    48,784.40/73,179.80 = 13,725.20/x
  3. Step 3: Cross multiply
    48,784.40x = 73,179.80 × 13,725.20
  4. Step 4: Simplify right side
    48,784.40x = 1,004,407,390.96
  5. Step 5: Solve for x
    x = 1,004,407,390.96/48,784.40
  6. Step 6: Final answer
    x = 20,588.70

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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.