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Finding the Fourth Proportional to 83,635.65, 115,258.10 and 82,098.60

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Solution

The fourth proportional to 83,635.65, 115,258.10 and 82,098.60 is: 113,139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,635.65 : 115,258.10 = 82,098.60 : x
  2. Step 2: Convert to fraction form
    83,635.65/115,258.10 = 82,098.60/x
  3. Step 3: Cross multiply
    83,635.65x = 115,258.10 × 82,098.60
  4. Step 4: Simplify right side
    83,635.65x = 9,462,528,869.45
  5. Step 5: Solve for x
    x = 9,462,528,869.45/83,635.65
  6. Step 6: Final answer
    x = 113,139.90

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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.