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Finding the Fourth Proportional to 98,863.20, 148,229.28 and 54,511.20

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Solution

The fourth proportional to 98,863.20, 148,229.28 and 54,511.20 is: 81,730.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,863.20 : 148,229.28 = 54,511.20 : x
  2. Step 2: Convert to fraction form
    98,863.20/148,229.28 = 54,511.20/x
  3. Step 3: Cross multiply
    98,863.20x = 148,229.28 × 54,511.20
  4. Step 4: Simplify right side
    98,863.20x = 8,080,155,927.94
  5. Step 5: Solve for x
    x = 8,080,155,927.94/98,863.20
  6. Step 6: Final answer
    x = 81,730.67

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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.