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Finding the Fourth Proportional to 218,993.76, 328,490.64 and 52,781.76

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Solution

The fourth proportional to 218,993.76, 328,490.64 and 52,781.76 is: 79,172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,993.76 : 328,490.64 = 52,781.76 : x
  2. Step 2: Convert to fraction form
    218,993.76/328,490.64 = 52,781.76/x
  3. Step 3: Cross multiply
    218,993.76x = 328,490.64 × 52,781.76
  4. Step 4: Simplify right side
    218,993.76x = 17,338,314,122.73
  5. Step 5: Solve for x
    x = 17,338,314,122.73/218,993.76
  6. Step 6: Final answer
    x = 79,172.64

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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.