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Finding the Fourth Proportional to 82,039.95, 123,007.35 and 34,642.20

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Solution

The fourth proportional to 82,039.95, 123,007.35 and 34,642.20 is: 51,941.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,039.95 : 123,007.35 = 34,642.20 : x
  2. Step 2: Convert to fraction form
    82,039.95/123,007.35 = 34,642.20/x
  3. Step 3: Cross multiply
    82,039.95x = 123,007.35 × 34,642.20
  4. Step 4: Simplify right side
    82,039.95x = 4,261,245,220.17
  5. Step 5: Solve for x
    x = 4,261,245,220.17/82,039.95
  6. Step 6: Final answer
    x = 51,941.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.