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Finding the Fourth Proportional to 123,724.32, 170,879.44 and 83,368.02

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Solution

The fourth proportional to 123,724.32, 170,879.44 and 83,368.02 is: 115,142.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,724.32 : 170,879.44 = 83,368.02 : x
  2. Step 2: Convert to fraction form
    123,724.32/170,879.44 = 83,368.02/x
  3. Step 3: Cross multiply
    123,724.32x = 170,879.44 × 83,368.02
  4. Step 4: Simplify right side
    123,724.32x = 14,245,880,571.51
  5. Step 5: Solve for x
    x = 14,245,880,571.51/123,724.32
  6. Step 6: Final answer
    x = 115,142.12

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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.