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Finding the Fourth Proportional to 132,287.81, 198,459.05 and 43,546.64

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Solution

The fourth proportional to 132,287.81, 198,459.05 and 43,546.64 is: 65,328.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,287.81 : 198,459.05 = 43,546.64 : x
  2. Step 2: Convert to fraction form
    132,287.81/198,459.05 = 43,546.64/x
  3. Step 3: Cross multiply
    132,287.81x = 198,459.05 × 43,546.64
  4. Step 4: Simplify right side
    132,287.81x = 8,642,223,595.06
  5. Step 5: Solve for x
    x = 8,642,223,595.06/132,287.81
  6. Step 6: Final answer
    x = 65,328.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.