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Finding the Fourth Proportional to 99,914.20, 149,871.30 and 77,606.80

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Solution

The fourth proportional to 99,914.20, 149,871.30 and 77,606.80 is: 116,410.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,914.20 : 149,871.30 = 77,606.80 : x
  2. Step 2: Convert to fraction form
    99,914.20/149,871.30 = 77,606.80/x
  3. Step 3: Cross multiply
    99,914.20x = 149,871.30 × 77,606.80
  4. Step 4: Simplify right side
    99,914.20x = 11,631,032,004.84
  5. Step 5: Solve for x
    x = 11,631,032,004.84/99,914.20
  6. Step 6: Final answer
    x = 116,410.20

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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.