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Finding the Fourth Proportional to 96,651.80, 145,269.30 and 83,821.40

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Solution

The fourth proportional to 96,651.80, 145,269.30 and 83,821.40 is: 125,984.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,651.80 : 145,269.30 = 83,821.40 : x
  2. Step 2: Convert to fraction form
    96,651.80/145,269.30 = 83,821.40/x
  3. Step 3: Cross multiply
    96,651.80x = 145,269.30 × 83,821.40
  4. Step 4: Simplify right side
    96,651.80x = 12,176,676,103.02
  5. Step 5: Solve for x
    x = 12,176,676,103.02/96,651.80
  6. Step 6: Final answer
    x = 125,984.99

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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.