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Finding the Fourth Proportional to 77,691.88, 107,207.22 and 43,692.40

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Solution

The fourth proportional to 77,691.88, 107,207.22 and 43,692.40 is: 60,291.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,691.88 : 107,207.22 = 43,692.40 : x
  2. Step 2: Convert to fraction form
    77,691.88/107,207.22 = 43,692.40/x
  3. Step 3: Cross multiply
    77,691.88x = 107,207.22 × 43,692.40
  4. Step 4: Simplify right side
    77,691.88x = 4,684,140,739.13
  5. Step 5: Solve for x
    x = 4,684,140,739.13/77,691.88
  6. Step 6: Final answer
    x = 60,291.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.