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Finding the Fourth Proportional to 77,692.18, 116,321.74 and 39,659.64

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Solution

The fourth proportional to 77,692.18, 116,321.74 and 39,659.64 is: 59,378.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,692.18 : 116,321.74 = 39,659.64 : x
  2. Step 2: Convert to fraction form
    77,692.18/116,321.74 = 39,659.64/x
  3. Step 3: Cross multiply
    77,692.18x = 116,321.74 × 39,659.64
  4. Step 4: Simplify right side
    77,692.18x = 4,613,277,750.96
  5. Step 5: Solve for x
    x = 4,613,277,750.96/77,692.18
  6. Step 6: Final answer
    x = 59,378.92

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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.