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Finding the Fourth Proportional to 76,705.32, 115,099.32 and 32,362.80

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Solution

The fourth proportional to 76,705.32, 115,099.32 and 32,362.80 is: 48,561.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,705.32 : 115,099.32 = 32,362.80 : x
  2. Step 2: Convert to fraction form
    76,705.32/115,099.32 = 32,362.80/x
  3. Step 3: Cross multiply
    76,705.32x = 115,099.32 × 32,362.80
  4. Step 4: Simplify right side
    76,705.32x = 3,724,936,273.30
  5. Step 5: Solve for x
    x = 3,724,936,273.30/76,705.32
  6. Step 6: Final answer
    x = 48,561.64

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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.