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Finding the Fourth Proportional to 98,563.80, 147,845.70 and 78,880.80

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Solution

The fourth proportional to 98,563.80, 147,845.70 and 78,880.80 is: 118,321.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,563.80 : 147,845.70 = 78,880.80 : x
  2. Step 2: Convert to fraction form
    98,563.80/147,845.70 = 78,880.80/x
  3. Step 3: Cross multiply
    98,563.80x = 147,845.70 × 78,880.80
  4. Step 4: Simplify right side
    98,563.80x = 11,662,187,092.56
  5. Step 5: Solve for x
    x = 11,662,187,092.56/98,563.80
  6. Step 6: Final answer
    x = 118,321.20

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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.