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Finding the Fourth Proportional to 218,826, 301,829.92 and 133,984.96

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Solution

The fourth proportional to 218,826, 301,829.92 and 133,984.96 is: 184,807.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,826 : 301,829.92 = 133,984.96 : x
  2. Step 2: Convert to fraction form
    218,826/301,829.92 = 133,984.96/x
  3. Step 3: Cross multiply
    218,826x = 301,829.92 × 133,984.96
  4. Step 4: Simplify right side
    218,826x = 40,440,669,758.00
  5. Step 5: Solve for x
    x = 40,440,669,758.00/218,826
  6. Step 6: Final answer
    x = 184,807.43

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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.