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Finding the Fourth Proportional to 82,363.42, 123,403.95 and 55,295.06

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Solution

The fourth proportional to 82,363.42, 123,403.95 and 55,295.06 is: 82,847.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,363.42 : 123,403.95 = 55,295.06 : x
  2. Step 2: Convert to fraction form
    82,363.42/123,403.95 = 55,295.06/x
  3. Step 3: Cross multiply
    82,363.42x = 123,403.95 × 55,295.06
  4. Step 4: Simplify right side
    82,363.42x = 6,823,628,741.10
  5. Step 5: Solve for x
    x = 6,823,628,741.10/82,363.42
  6. Step 6: Final answer
    x = 82,847.81

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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.