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Finding the Fourth Proportional to 135,158.82, 186,511.64 and 74,725.94

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Solution

The fourth proportional to 135,158.82, 186,511.64 and 74,725.94 is: 103,117.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,158.82 : 186,511.64 = 74,725.94 : x
  2. Step 2: Convert to fraction form
    135,158.82/186,511.64 = 74,725.94/x
  3. Step 3: Cross multiply
    135,158.82x = 186,511.64 × 74,725.94
  4. Step 4: Simplify right side
    135,158.82x = 13,937,257,619.94
  5. Step 5: Solve for x
    x = 13,937,257,619.94/135,158.82
  6. Step 6: Final answer
    x = 103,117.63

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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.