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Finding the Fourth Proportional to 99,435, 149,151.64 and 29,313.28

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Solution

The fourth proportional to 99,435, 149,151.64 and 29,313.28 is: 43,969.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,435 : 149,151.64 = 29,313.28 : x
  2. Step 2: Convert to fraction form
    99,435/149,151.64 = 29,313.28/x
  3. Step 3: Cross multiply
    99,435x = 149,151.64 × 29,313.28
  4. Step 4: Simplify right side
    99,435x = 4,372,123,785.78
  5. Step 5: Solve for x
    x = 4,372,123,785.78/99,435
  6. Step 6: Final answer
    x = 43,969.67

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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.