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Finding the Fourth Proportional to 82,403.70, 123,605.55 and 49,161.30

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Solution

The fourth proportional to 82,403.70, 123,605.55 and 49,161.30 is: 73,741.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,403.70 : 123,605.55 = 49,161.30 : x
  2. Step 2: Convert to fraction form
    82,403.70/123,605.55 = 49,161.30/x
  3. Step 3: Cross multiply
    82,403.70x = 123,605.55 × 49,161.30
  4. Step 4: Simplify right side
    82,403.70x = 6,076,609,525.22
  5. Step 5: Solve for x
    x = 6,076,609,525.22/82,403.70
  6. Step 6: Final answer
    x = 73,741.95

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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.