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Finding the Fourth Proportional to 225,881.93, 311,720.00 and 123,900.77

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Solution

The fourth proportional to 225,881.93, 311,720.00 and 123,900.77 is: 170,984.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,881.93 : 311,720.00 = 123,900.77 : x
  2. Step 2: Convert to fraction form
    225,881.93/311,720.00 = 123,900.77/x
  3. Step 3: Cross multiply
    225,881.93x = 311,720.00 × 123,900.77
  4. Step 4: Simplify right side
    225,881.93x = 38,622,348,184.20
  5. Step 5: Solve for x
    x = 38,622,348,184.20/225,881.93
  6. Step 6: Final answer
    x = 170,984.67

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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.