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Finding the Fourth Proportional to 82,866.12, 114,355.44 and 45,139.56

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Solution

The fourth proportional to 82,866.12, 114,355.44 and 45,139.56 is: 62,292.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,866.12 : 114,355.44 = 45,139.56 : x
  2. Step 2: Convert to fraction form
    82,866.12/114,355.44 = 45,139.56/x
  3. Step 3: Cross multiply
    82,866.12x = 114,355.44 × 45,139.56
  4. Step 4: Simplify right side
    82,866.12x = 5,161,954,245.21
  5. Step 5: Solve for x
    x = 5,161,954,245.21/82,866.12
  6. Step 6: Final answer
    x = 62,292.70

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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.