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Finding the Fourth Proportional to 77,069, 115,603.50 and 21,665

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Solution

The fourth proportional to 77,069, 115,603.50 and 21,665 is: 32,497.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,069 : 115,603.50 = 21,665 : x
  2. Step 2: Convert to fraction form
    77,069/115,603.50 = 21,665/x
  3. Step 3: Cross multiply
    77,069x = 115,603.50 × 21,665
  4. Step 4: Simplify right side
    77,069x = 2,504,549,827.50
  5. Step 5: Solve for x
    x = 2,504,549,827.50/77,069
  6. Step 6: Final answer
    x = 32,497.50

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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.