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Finding the Fourth Proportional to 99,600, 149,400 and 37,299.84

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Solution

The fourth proportional to 99,600, 149,400 and 37,299.84 is: 55,949.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,600 : 149,400 = 37,299.84 : x
  2. Step 2: Convert to fraction form
    99,600/149,400 = 37,299.84/x
  3. Step 3: Cross multiply
    99,600x = 149,400 × 37,299.84
  4. Step 4: Simplify right side
    99,600x = 5,572,596,096.00
  5. Step 5: Solve for x
    x = 5,572,596,096.00/99,600
  6. Step 6: Final answer
    x = 55,949.76

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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.