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Finding the Fourth Proportional to 55,919, 83,878.50 and 14,366

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Solution

The fourth proportional to 55,919, 83,878.50 and 14,366 is: 21,549

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,919 : 83,878.50 = 14,366 : x
  2. Step 2: Convert to fraction form
    55,919/83,878.50 = 14,366/x
  3. Step 3: Cross multiply
    55,919x = 83,878.50 × 14,366
  4. Step 4: Simplify right side
    55,919x = 1,204,998,531
  5. Step 5: Solve for x
    x = 1,204,998,531/55,919
  6. Step 6: Final answer
    x = 21,549

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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.