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Finding the Fourth Proportional to 98,847.76, 148,249.34 and 45,488.50

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Solution

The fourth proportional to 98,847.76, 148,249.34 and 45,488.50 is: 68,222.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,847.76 : 148,249.34 = 45,488.50 : x
  2. Step 2: Convert to fraction form
    98,847.76/148,249.34 = 45,488.50/x
  3. Step 3: Cross multiply
    98,847.76x = 148,249.34 × 45,488.50
  4. Step 4: Simplify right side
    98,847.76x = 6,743,640,102.59
  5. Step 5: Solve for x
    x = 6,743,640,102.59/98,847.76
  6. Step 6: Final answer
    x = 68,222.49

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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.