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Finding the Fourth Proportional to 82,468.80, 123,962.40 and 80,913.60

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Solution

The fourth proportional to 82,468.80, 123,962.40 and 80,913.60 is: 121,624.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,468.80 : 123,962.40 = 80,913.60 : x
  2. Step 2: Convert to fraction form
    82,468.80/123,962.40 = 80,913.60/x
  3. Step 3: Cross multiply
    82,468.80x = 123,962.40 × 80,913.60
  4. Step 4: Simplify right side
    82,468.80x = 10,030,244,048.64
  5. Step 5: Solve for x
    x = 10,030,244,048.64/82,468.80
  6. Step 6: Final answer
    x = 121,624.71

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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.