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Finding the Fourth Proportional to 76,784.76, 115,192.80 and 43,519.68

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Solution

The fourth proportional to 76,784.76, 115,192.80 and 43,519.68 is: 65,288.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,784.76 : 115,192.80 = 43,519.68 : x
  2. Step 2: Convert to fraction form
    76,784.76/115,192.80 = 43,519.68/x
  3. Step 3: Cross multiply
    76,784.76x = 115,192.80 × 43,519.68
  4. Step 4: Simplify right side
    76,784.76x = 5,013,153,794.30
  5. Step 5: Solve for x
    x = 5,013,153,794.30/76,784.76
  6. Step 6: Final answer
    x = 65,288.40

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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.