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Finding the Fourth Proportional to 76,667, 115,000.50 and 21,263

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Solution

The fourth proportional to 76,667, 115,000.50 and 21,263 is: 31,894.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,667 : 115,000.50 = 21,263 : x
  2. Step 2: Convert to fraction form
    76,667/115,000.50 = 21,263/x
  3. Step 3: Cross multiply
    76,667x = 115,000.50 × 21,263
  4. Step 4: Simplify right side
    76,667x = 2,445,255,631.50
  5. Step 5: Solve for x
    x = 2,445,255,631.50/76,667
  6. Step 6: Final answer
    x = 31,894.50

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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.