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Finding the Fourth Proportional to 132,615.66, 198,965.00 and 85,284.20

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Solution

The fourth proportional to 132,615.66, 198,965.00 and 85,284.20 is: 127,953.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,615.66 : 198,965.00 = 85,284.20 : x
  2. Step 2: Convert to fraction form
    132,615.66/198,965.00 = 85,284.20/x
  3. Step 3: Cross multiply
    132,615.66x = 198,965.00 × 85,284.20
  4. Step 4: Simplify right side
    132,615.66x = 16,968,570,923.99
  5. Step 5: Solve for x
    x = 16,968,570,923.99/132,615.66
  6. Step 6: Final answer
    x = 127,953.00

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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.