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Finding the Fourth Proportional to 55,917, 83,875.50 and 14,364

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Solution

The fourth proportional to 55,917, 83,875.50 and 14,364 is: 21,546

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,917 : 83,875.50 = 14,364 : x
  2. Step 2: Convert to fraction form
    55,917/83,875.50 = 14,364/x
  3. Step 3: Cross multiply
    55,917x = 83,875.50 × 14,364
  4. Step 4: Simplify right side
    55,917x = 1,204,787,682
  5. Step 5: Solve for x
    x = 1,204,787,682/55,917
  6. Step 6: Final answer
    x = 21,546

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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.