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Finding the Fourth Proportional to 135,955.74, 187,709.31 and 85,045.26

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Solution

The fourth proportional to 135,955.74, 187,709.31 and 85,045.26 is: 117,419.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,955.74 : 187,709.31 = 85,045.26 : x
  2. Step 2: Convert to fraction form
    135,955.74/187,709.31 = 85,045.26/x
  3. Step 3: Cross multiply
    135,955.74x = 187,709.31 × 85,045.26
  4. Step 4: Simplify right side
    135,955.74x = 15,963,787,073.37
  5. Step 5: Solve for x
    x = 15,963,787,073.37/135,955.74
  6. Step 6: Final answer
    x = 117,419.00

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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.