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Finding the Fourth Proportional to 218,878.34, 328,327.56 and 67,064.54

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Solution

The fourth proportional to 218,878.34, 328,327.56 and 67,064.54 is: 100,599.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,878.34 : 328,327.56 = 67,064.54 : x
  2. Step 2: Convert to fraction form
    218,878.34/328,327.56 = 67,064.54/x
  3. Step 3: Cross multiply
    218,878.34x = 328,327.56 × 67,064.54
  4. Step 4: Simplify right side
    218,878.34x = 22,019,136,780.72
  5. Step 5: Solve for x
    x = 22,019,136,780.72/218,878.34
  6. Step 6: Final answer
    x = 100,599.89

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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.