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Finding the Fourth Proportional to 77,446.72, 116,308 and 63,433.28

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Solution

The fourth proportional to 77,446.72, 116,308 and 63,433.28 is: 95,262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,446.72 : 116,308 = 63,433.28 : x
  2. Step 2: Convert to fraction form
    77,446.72/116,308 = 63,433.28/x
  3. Step 3: Cross multiply
    77,446.72x = 116,308 × 63,433.28
  4. Step 4: Simplify right side
    77,446.72x = 7,377,797,930.24
  5. Step 5: Solve for x
    x = 7,377,797,930.24/77,446.72
  6. Step 6: Final answer
    x = 95,262.88

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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.