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Finding the Fourth Proportional to 135,497.21, 186,881.78 and 81,726.17

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Solution

The fourth proportional to 135,497.21, 186,881.78 and 81,726.17 is: 112,719.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,497.21 : 186,881.78 = 81,726.17 : x
  2. Step 2: Convert to fraction form
    135,497.21/186,881.78 = 81,726.17/x
  3. Step 3: Cross multiply
    135,497.21x = 186,881.78 × 81,726.17
  4. Step 4: Simplify right side
    135,497.21x = 15,273,131,392.09
  5. Step 5: Solve for x
    x = 15,273,131,392.09/135,497.21
  6. Step 6: Final answer
    x = 112,719.16

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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.