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Finding the Fourth Proportional to 99,533.80, 149,531.10 and 68,429.80

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Solution

The fourth proportional to 99,533.80, 149,531.10 and 68,429.80 is: 102,803.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,533.80 : 149,531.10 = 68,429.80 : x
  2. Step 2: Convert to fraction form
    99,533.80/149,531.10 = 68,429.80/x
  3. Step 3: Cross multiply
    99,533.80x = 149,531.10 × 68,429.80
  4. Step 4: Simplify right side
    99,533.80x = 10,232,383,266.78
  5. Step 5: Solve for x
    x = 10,232,383,266.78/99,533.80
  6. Step 6: Final answer
    x = 102,803.10

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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.