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Finding the Fourth Proportional to 98,628.40, 147,942.60 and 82,225.90

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Solution

The fourth proportional to 98,628.40, 147,942.60 and 82,225.90 is: 123,338.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,628.40 : 147,942.60 = 82,225.90 : x
  2. Step 2: Convert to fraction form
    98,628.40/147,942.60 = 82,225.90/x
  3. Step 3: Cross multiply
    98,628.40x = 147,942.60 × 82,225.90
  4. Step 4: Simplify right side
    98,628.40x = 12,164,713,433.34
  5. Step 5: Solve for x
    x = 12,164,713,433.34/98,628.40
  6. Step 6: Final answer
    x = 123,338.85

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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.