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Finding the Fourth Proportional to 135,491.94, 186,985.44 and 81,775.98

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Solution

The fourth proportional to 135,491.94, 186,985.44 and 81,775.98 is: 112,854.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,491.94 : 186,985.44 = 81,775.98 : x
  2. Step 2: Convert to fraction form
    135,491.94/186,985.44 = 81,775.98/x
  3. Step 3: Cross multiply
    135,491.94x = 186,985.44 × 81,775.98
  4. Step 4: Simplify right side
    135,491.94x = 15,290,917,601.73
  5. Step 5: Solve for x
    x = 15,290,917,601.73/135,491.94
  6. Step 6: Final answer
    x = 112,854.81

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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.