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Finding the Fourth Proportional to 132,613, 198,961.01 and 85,281.54

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Solution

The fourth proportional to 132,613, 198,961.01 and 85,281.54 is: 127,949.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,613 : 198,961.01 = 85,281.54 : x
  2. Step 2: Convert to fraction form
    132,613/198,961.01 = 85,281.54/x
  3. Step 3: Cross multiply
    132,613x = 198,961.01 × 85,281.54
  4. Step 4: Simplify right side
    132,613x = 16,967,701,332.76
  5. Step 5: Solve for x
    x = 16,967,701,332.76/132,613
  6. Step 6: Final answer
    x = 127,949.00

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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.