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Finding the Fourth Proportional to 77,670.88, 107,184.30 and 43,679.80

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Solution

The fourth proportional to 77,670.88, 107,184.30 and 43,679.80 is: 60,277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,670.88 : 107,184.30 = 43,679.80 : x
  2. Step 2: Convert to fraction form
    77,670.88/107,184.30 = 43,679.80/x
  3. Step 3: Cross multiply
    77,670.88x = 107,184.30 × 43,679.80
  4. Step 4: Simplify right side
    77,670.88x = 4,681,788,787.14
  5. Step 5: Solve for x
    x = 4,681,788,787.14/77,670.88
  6. Step 6: Final answer
    x = 60,277.27

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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.