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Finding the Fourth Proportional to 218,968, 328,575.04 and 119,135.20

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Solution

The fourth proportional to 218,968, 328,575.04 and 119,135.20 is: 178,769.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,968 : 328,575.04 = 119,135.20 : x
  2. Step 2: Convert to fraction form
    218,968/328,575.04 = 119,135.20/x
  3. Step 3: Cross multiply
    218,968x = 328,575.04 × 119,135.20
  4. Step 4: Simplify right side
    218,968x = 39,144,853,105.41
  5. Step 5: Solve for x
    x = 39,144,853,105.41/218,968
  6. Step 6: Final answer
    x = 178,769.74

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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.