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Finding the Fourth Proportional to 77,692.52, 116,544.68 and 21,532

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Solution

The fourth proportional to 77,692.52, 116,544.68 and 21,532 is: 32,299.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,692.52 : 116,544.68 = 21,532 : x
  2. Step 2: Convert to fraction form
    77,692.52/116,544.68 = 21,532/x
  3. Step 3: Cross multiply
    77,692.52x = 116,544.68 × 21,532
  4. Step 4: Simplify right side
    77,692.52x = 2,509,440,049.76
  5. Step 5: Solve for x
    x = 2,509,440,049.76/77,692.52
  6. Step 6: Final answer
    x = 32,299.64

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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.