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Finding the Fourth Proportional to 76,562, 114,843 and 21,158

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Solution

The fourth proportional to 76,562, 114,843 and 21,158 is: 31,737

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,562 : 114,843 = 21,158 : x
  2. Step 2: Convert to fraction form
    76,562/114,843 = 21,158/x
  3. Step 3: Cross multiply
    76,562x = 114,843 × 21,158
  4. Step 4: Simplify right side
    76,562x = 2,429,848,194
  5. Step 5: Solve for x
    x = 2,429,848,194/76,562
  6. Step 6: Final answer
    x = 31,737

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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.