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Finding the Fourth Proportional to 77,073, 115,609.50 and 21,669

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Solution

The fourth proportional to 77,073, 115,609.50 and 21,669 is: 32,503.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,073 : 115,609.50 = 21,669 : x
  2. Step 2: Convert to fraction form
    77,073/115,609.50 = 21,669/x
  3. Step 3: Cross multiply
    77,073x = 115,609.50 × 21,669
  4. Step 4: Simplify right side
    77,073x = 2,505,142,255.50
  5. Step 5: Solve for x
    x = 2,505,142,255.50/77,073
  6. Step 6: Final answer
    x = 32,503.50

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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.