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Finding the Fourth Proportional to 225,991.36, 311,870.61 and 124,013.98

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Solution

The fourth proportional to 225,991.36, 311,870.61 and 124,013.98 is: 171,140.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,991.36 : 311,870.61 = 124,013.98 : x
  2. Step 2: Convert to fraction form
    225,991.36/311,870.61 = 124,013.98/x
  3. Step 3: Cross multiply
    225,991.36x = 311,870.61 × 124,013.98
  4. Step 4: Simplify right side
    225,991.36x = 38,676,314,811.45
  5. Step 5: Solve for x
    x = 38,676,314,811.45/225,991.36
  6. Step 6: Final answer
    x = 171,140.68

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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.