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Finding the Fourth Proportional to 99,872, 149,832.64 and 29,751.04

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Solution

The fourth proportional to 99,872, 149,832.64 and 29,751.04 is: 44,633.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,872 : 149,832.64 = 29,751.04 : x
  2. Step 2: Convert to fraction form
    99,872/149,832.64 = 29,751.04/x
  3. Step 3: Cross multiply
    99,872x = 149,832.64 × 29,751.04
  4. Step 4: Simplify right side
    99,872x = 4,457,676,865.95
  5. Step 5: Solve for x
    x = 4,457,676,865.95/99,872
  6. Step 6: Final answer
    x = 44,633.90

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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.