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Finding the Fourth Proportional to 78,089.88, 107,764.56 and 43,634.64

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Solution

The fourth proportional to 78,089.88, 107,764.56 and 43,634.64 is: 60,216.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,089.88 : 107,764.56 = 43,634.64 : x
  2. Step 2: Convert to fraction form
    78,089.88/107,764.56 = 43,634.64/x
  3. Step 3: Cross multiply
    78,089.88x = 107,764.56 × 43,634.64
  4. Step 4: Simplify right side
    78,089.88x = 4,702,267,780.36
  5. Step 5: Solve for x
    x = 4,702,267,780.36/78,089.88
  6. Step 6: Final answer
    x = 60,216.10

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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.