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Finding the Fourth Proportional to 219,978.56, 303,570.43 and 119,376.56

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Solution

The fourth proportional to 219,978.56, 303,570.43 and 119,376.56 is: 164,739.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,978.56 : 303,570.43 = 119,376.56 : x
  2. Step 2: Convert to fraction form
    219,978.56/303,570.43 = 119,376.56/x
  3. Step 3: Cross multiply
    219,978.56x = 303,570.43 × 119,376.56
  4. Step 4: Simplify right side
    219,978.56x = 36,239,194,111.61
  5. Step 5: Solve for x
    x = 36,239,194,111.61/219,978.56
  6. Step 6: Final answer
    x = 164,739.66

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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.