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Finding the Fourth Proportional to 99,879.28, 149,840.52 and 29,764.24

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Solution

The fourth proportional to 99,879.28, 149,840.52 and 29,764.24 is: 44,652.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,879.28 : 149,840.52 = 29,764.24 : x
  2. Step 2: Convert to fraction form
    99,879.28/149,840.52 = 29,764.24/x
  3. Step 3: Cross multiply
    99,879.28x = 149,840.52 × 29,764.24
  4. Step 4: Simplify right side
    99,879.28x = 4,459,889,199.00
  5. Step 5: Solve for x
    x = 4,459,889,199.00/99,879.28
  6. Step 6: Final answer
    x = 44,652.80

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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.