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Finding the Fourth Proportional to 77,670.82, 107,184.71 and 43,679.30

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Solution

The fourth proportional to 77,670.82, 107,184.71 and 43,679.30 is: 60,276.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,670.82 : 107,184.71 = 43,679.30 : x
  2. Step 2: Convert to fraction form
    77,670.82/107,184.71 = 43,679.30/x
  3. Step 3: Cross multiply
    77,670.82x = 107,184.71 × 43,679.30
  4. Step 4: Simplify right side
    77,670.82x = 4,681,752,959.65
  5. Step 5: Solve for x
    x = 4,681,752,959.65/77,670.82
  6. Step 6: Final answer
    x = 60,276.86

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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.