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Finding the Fourth Proportional to 82,387.13, 113,584.28 and 65,447.60

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Solution

The fourth proportional to 82,387.13, 113,584.28 and 65,447.60 is: 90,230.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,387.13 : 113,584.28 = 65,447.60 : x
  2. Step 2: Convert to fraction form
    82,387.13/113,584.28 = 65,447.60/x
  3. Step 3: Cross multiply
    82,387.13x = 113,584.28 × 65,447.60
  4. Step 4: Simplify right side
    82,387.13x = 7,433,817,628.57
  5. Step 5: Solve for x
    x = 7,433,817,628.57/82,387.13
  6. Step 6: Final answer
    x = 90,230.33

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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.