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Finding the Fourth Proportional to 77,310.82, 105,889.53 and 72,771.58

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Solution

The fourth proportional to 77,310.82, 105,889.53 and 72,771.58 is: 99,672.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,310.82 : 105,889.53 = 72,771.58 : x
  2. Step 2: Convert to fraction form
    77,310.82/105,889.53 = 72,771.58/x
  3. Step 3: Cross multiply
    77,310.82x = 105,889.53 × 72,771.58
  4. Step 4: Simplify right side
    77,310.82x = 7,705,748,403.56
  5. Step 5: Solve for x
    x = 7,705,748,403.56/77,310.82
  6. Step 6: Final answer
    x = 99,672.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.