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Finding the Fourth Proportional to 135,491.54, 186,985.26 and 81,775.78

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Solution

The fourth proportional to 135,491.54, 186,985.26 and 81,775.78 is: 112,854.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,491.54 : 186,985.26 = 81,775.78 : x
  2. Step 2: Convert to fraction form
    135,491.54/186,985.26 = 81,775.78/x
  3. Step 3: Cross multiply
    135,491.54x = 186,985.26 × 81,775.78
  4. Step 4: Simplify right side
    135,491.54x = 15,290,865,017.54
  5. Step 5: Solve for x
    x = 15,290,865,017.54/135,491.54
  6. Step 6: Final answer
    x = 112,854.76

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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.