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Finding the Fourth Proportional to 218,000.54, 300,842.73 and 131,961.50

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Solution

The fourth proportional to 218,000.54, 300,842.73 and 131,961.50 is: 182,108.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,000.54 : 300,842.73 = 131,961.50 : x
  2. Step 2: Convert to fraction form
    218,000.54/300,842.73 = 131,961.50/x
  3. Step 3: Cross multiply
    218,000.54x = 300,842.73 × 131,961.50
  4. Step 4: Simplify right side
    218,000.54x = 39,699,657,914.90
  5. Step 5: Solve for x
    x = 39,699,657,914.90/218,000.54
  6. Step 6: Final answer
    x = 182,108.07

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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.