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Finding the Fourth Proportional to 218,933.94, 328,523.94 and 119,101.12

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Solution

The fourth proportional to 218,933.94, 328,523.94 and 119,101.12 is: 178,718.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,933.94 : 328,523.94 = 119,101.12 : x
  2. Step 2: Convert to fraction form
    218,933.94/328,523.94 = 119,101.12/x
  3. Step 3: Cross multiply
    218,933.94x = 328,523.94 × 119,101.12
  4. Step 4: Simplify right side
    218,933.94x = 39,127,569,200.81
  5. Step 5: Solve for x
    x = 39,127,569,200.81/218,933.94
  6. Step 6: Final answer
    x = 178,718.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.