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Finding the Fourth Proportional to 99,828.80, 149,743.20 and 84,795.20

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Solution

The fourth proportional to 99,828.80, 149,743.20 and 84,795.20 is: 127,192.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,828.80 : 149,743.20 = 84,795.20 : x
  2. Step 2: Convert to fraction form
    99,828.80/149,743.20 = 84,795.20/x
  3. Step 3: Cross multiply
    99,828.80x = 149,743.20 × 84,795.20
  4. Step 4: Simplify right side
    99,828.80x = 12,697,504,592.64
  5. Step 5: Solve for x
    x = 12,697,504,592.64/99,828.80
  6. Step 6: Final answer
    x = 127,192.80

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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.