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Finding the Fourth Proportional to 105,597.36, 145,724.48 and 57,199.39

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Solution

The fourth proportional to 105,597.36, 145,724.48 and 57,199.39 is: 78,935.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,597.36 : 145,724.48 = 57,199.39 : x
  2. Step 2: Convert to fraction form
    105,597.36/145,724.48 = 57,199.39/x
  3. Step 3: Cross multiply
    105,597.36x = 145,724.48 × 57,199.39
  4. Step 4: Simplify right side
    105,597.36x = 8,335,351,418.54
  5. Step 5: Solve for x
    x = 8,335,351,418.54/105,597.36
  6. Step 6: Final answer
    x = 78,935.23

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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.