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Finding the Fourth Proportional to 135,085.43, 186,418.11 and 74,656.05

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Solution

The fourth proportional to 135,085.43, 186,418.11 and 74,656.05 is: 103,025.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,085.43 : 186,418.11 = 74,656.05 : x
  2. Step 2: Convert to fraction form
    135,085.43/186,418.11 = 74,656.05/x
  3. Step 3: Cross multiply
    135,085.43x = 186,418.11 × 74,656.05
  4. Step 4: Simplify right side
    135,085.43x = 13,917,240,947.35
  5. Step 5: Solve for x
    x = 13,917,240,947.35/135,085.43
  6. Step 6: Final answer
    x = 103,025.48

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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.