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Finding the Fourth Proportional to 73,046.26, 100,803.40 and 40,779

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Solution

The fourth proportional to 73,046.26, 100,803.40 and 40,779 is: 56,274.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,046.26 : 100,803.40 = 40,779 : x
  2. Step 2: Convert to fraction form
    73,046.26/100,803.40 = 40,779/x
  3. Step 3: Cross multiply
    73,046.26x = 100,803.40 × 40,779
  4. Step 4: Simplify right side
    73,046.26x = 4,110,661,848.60
  5. Step 5: Solve for x
    x = 4,110,661,848.60/73,046.26
  6. Step 6: Final answer
    x = 56,274.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.