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Finding the Fourth Proportional to 77,801.64, 116,692.74 and 21,645.96

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Solution

The fourth proportional to 77,801.64, 116,692.74 and 21,645.96 is: 32,466.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,801.64 : 116,692.74 = 21,645.96 : x
  2. Step 2: Convert to fraction form
    77,801.64/116,692.74 = 21,645.96/x
  3. Step 3: Cross multiply
    77,801.64x = 116,692.74 × 21,645.96
  4. Step 4: Simplify right side
    77,801.64x = 2,525,926,382.33
  5. Step 5: Solve for x
    x = 2,525,926,382.33/77,801.64
  6. Step 6: Final answer
    x = 32,466.24

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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.