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Finding the Fourth Proportional to 83,161.92, 114,765 and 45,435.36

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Solution

The fourth proportional to 83,161.92, 114,765 and 45,435.36 is: 62,701.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,161.92 : 114,765 = 45,435.36 : x
  2. Step 2: Convert to fraction form
    83,161.92/114,765 = 45,435.36/x
  3. Step 3: Cross multiply
    83,161.92x = 114,765 × 45,435.36
  4. Step 4: Simplify right side
    83,161.92x = 5,214,389,090.40
  5. Step 5: Solve for x
    x = 5,214,389,090.40/83,161.92
  6. Step 6: Final answer
    x = 62,701.64

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1.5x scale

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.