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Finding the Fourth Proportional to 77,086.67, 106,371.44 and 43,091.58

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Solution

The fourth proportional to 77,086.67, 106,371.44 and 43,091.58 is: 59,461.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,086.67 : 106,371.44 = 43,091.58 : x
  2. Step 2: Convert to fraction form
    77,086.67/106,371.44 = 43,091.58/x
  3. Step 3: Cross multiply
    77,086.67x = 106,371.44 × 43,091.58
  4. Step 4: Simplify right side
    77,086.67x = 4,583,713,416.48
  5. Step 5: Solve for x
    x = 4,583,713,416.48/77,086.67
  6. Step 6: Final answer
    x = 59,461.82

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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.