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Finding the Fourth Proportional to 98,890.20, 148,269.78 and 54,538.20

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Solution

The fourth proportional to 98,890.20, 148,269.78 and 54,538.20 is: 81,771.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,890.20 : 148,269.78 = 54,538.20 : x
  2. Step 2: Convert to fraction form
    98,890.20/148,269.78 = 54,538.20/x
  3. Step 3: Cross multiply
    98,890.20x = 148,269.78 × 54,538.20
  4. Step 4: Simplify right side
    98,890.20x = 8,086,366,915.60
  5. Step 5: Solve for x
    x = 8,086,366,915.60/98,890.20
  6. Step 6: Final answer
    x = 81,771.17

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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.