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Finding the Fourth Proportional to 132,255.81, 198,205.16 and 61,978.05

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Solution

The fourth proportional to 132,255.81, 198,205.16 and 61,978.05 is: 92,883.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,255.81 : 198,205.16 = 61,978.05 : x
  2. Step 2: Convert to fraction form
    132,255.81/198,205.16 = 61,978.05/x
  3. Step 3: Cross multiply
    132,255.81x = 198,205.16 × 61,978.05
  4. Step 4: Simplify right side
    132,255.81x = 12,284,369,006.85
  5. Step 5: Solve for x
    x = 12,284,369,006.85/132,255.81
  6. Step 6: Final answer
    x = 92,883.40

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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.