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Finding the Fourth Proportional to 76,964.55, 115,352.51 and 43,712.60

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Solution

The fourth proportional to 76,964.55, 115,352.51 and 43,712.60 is: 65,515.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,964.55 : 115,352.51 = 43,712.60 : x
  2. Step 2: Convert to fraction form
    76,964.55/115,352.51 = 43,712.60/x
  3. Step 3: Cross multiply
    76,964.55x = 115,352.51 × 43,712.60
  4. Step 4: Simplify right side
    76,964.55x = 5,042,357,333.30
  5. Step 5: Solve for x
    x = 5,042,357,333.30/76,964.55
  6. Step 6: Final answer
    x = 65,515.33

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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.