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Finding the Fourth Proportional to 98,324.70, 147,563.85 and 45,740.70

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Solution

The fourth proportional to 98,324.70, 147,563.85 and 45,740.70 is: 68,646.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,324.70 : 147,563.85 = 45,740.70 : x
  2. Step 2: Convert to fraction form
    98,324.70/147,563.85 = 45,740.70/x
  3. Step 3: Cross multiply
    98,324.70x = 147,563.85 × 45,740.70
  4. Step 4: Simplify right side
    98,324.70x = 6,749,673,793.70
  5. Step 5: Solve for x
    x = 6,749,673,793.70/98,324.70
  6. Step 6: Final answer
    x = 68,646.78

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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.