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Finding the Fourth Proportional to 135,477.41, 186,965.43 and 81,761.45

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Solution

The fourth proportional to 135,477.41, 186,965.43 and 81,761.45 is: 112,834.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,477.41 : 186,965.43 = 81,761.45 : x
  2. Step 2: Convert to fraction form
    135,477.41/186,965.43 = 81,761.45/x
  3. Step 3: Cross multiply
    135,477.41x = 186,965.43 × 81,761.45
  4. Step 4: Simplify right side
    135,477.41x = 15,286,564,656.67
  5. Step 5: Solve for x
    x = 15,286,564,656.67/135,477.41
  6. Step 6: Final answer
    x = 112,834.79

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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.