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Finding the Fourth Proportional to 55,068.50, 75,994.53 and 29,918

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Solution

The fourth proportional to 55,068.50, 75,994.53 and 29,918 is: 41,286.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,068.50 : 75,994.53 = 29,918 : x
  2. Step 2: Convert to fraction form
    55,068.50/75,994.53 = 29,918/x
  3. Step 3: Cross multiply
    55,068.50x = 75,994.53 × 29,918
  4. Step 4: Simplify right side
    55,068.50x = 2,273,604,348.54
  5. Step 5: Solve for x
    x = 2,273,604,348.54/55,068.50
  6. Step 6: Final answer
    x = 41,286.84

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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.