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Finding the Fourth Proportional to 76,815.30, 115,239.15 and 32,419.20

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Solution

The fourth proportional to 76,815.30, 115,239.15 and 32,419.20 is: 48,635.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,815.30 : 115,239.15 = 32,419.20 : x
  2. Step 2: Convert to fraction form
    76,815.30/115,239.15 = 32,419.20/x
  3. Step 3: Cross multiply
    76,815.30x = 115,239.15 × 32,419.20
  4. Step 4: Simplify right side
    76,815.30x = 3,735,961,051.68
  5. Step 5: Solve for x
    x = 3,735,961,051.68/76,815.30
  6. Step 6: Final answer
    x = 48,635.64

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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.