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Finding the Fourth Proportional to 98,563.08, 147,845.70 and 28,443

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Solution

The fourth proportional to 98,563.08, 147,845.70 and 28,443 is: 42,664.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,563.08 : 147,845.70 = 28,443 : x
  2. Step 2: Convert to fraction form
    98,563.08/147,845.70 = 28,443/x
  3. Step 3: Cross multiply
    98,563.08x = 147,845.70 × 28,443
  4. Step 4: Simplify right side
    98,563.08x = 4,205,175,245.10
  5. Step 5: Solve for x
    x = 4,205,175,245.10/98,563.08
  6. Step 6: Final answer
    x = 42,664.81

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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.