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Finding the Fourth Proportional to 102,087.54, 140,869.53 and 61,249.50

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Solution

The fourth proportional to 102,087.54, 140,869.53 and 61,249.50 is: 84,517.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,087.54 : 140,869.53 = 61,249.50 : x
  2. Step 2: Convert to fraction form
    102,087.54/140,869.53 = 61,249.50/x
  3. Step 3: Cross multiply
    102,087.54x = 140,869.53 × 61,249.50
  4. Step 4: Simplify right side
    102,087.54x = 8,628,188,277.74
  5. Step 5: Solve for x
    x = 8,628,188,277.74/102,087.54
  6. Step 6: Final answer
    x = 84,517.55

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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.