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Finding the Fourth Proportional to 77,711.67, 107,241.93 and 43,720.17

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Solution

The fourth proportional to 77,711.67, 107,241.93 and 43,720.17 is: 60,333.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,711.67 : 107,241.93 = 43,720.17 : x
  2. Step 2: Convert to fraction form
    77,711.67/107,241.93 = 43,720.17/x
  3. Step 3: Cross multiply
    77,711.67x = 107,241.93 × 43,720.17
  4. Step 4: Simplify right side
    77,711.67x = 4,688,635,410.73
  5. Step 5: Solve for x
    x = 4,688,635,410.73/77,711.67
  6. Step 6: Final answer
    x = 60,333.74

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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.