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Finding the Fourth Proportional to 83,153.56, 114,751.92 and 45,427.81

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Solution

The fourth proportional to 83,153.56, 114,751.92 and 45,427.81 is: 62,690.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,153.56 : 114,751.92 = 45,427.81 : x
  2. Step 2: Convert to fraction form
    83,153.56/114,751.92 = 45,427.81/x
  3. Step 3: Cross multiply
    83,153.56x = 114,751.92 × 45,427.81
  4. Step 4: Simplify right side
    83,153.56x = 5,212,928,418.90
  5. Step 5: Solve for x
    x = 5,212,928,418.90/83,153.56
  6. Step 6: Final answer
    x = 62,690.38

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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.