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Finding the Fourth Proportional to 263,707.72, 395,572.54 and 76,719.24

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Solution

The fourth proportional to 263,707.72, 395,572.54 and 76,719.24 is: 115,082.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,707.72 : 395,572.54 = 76,719.24 : x
  2. Step 2: Convert to fraction form
    263,707.72/395,572.54 = 76,719.24/x
  3. Step 3: Cross multiply
    263,707.72x = 395,572.54 × 76,719.24
  4. Step 4: Simplify right side
    263,707.72x = 30,348,024,633.67
  5. Step 5: Solve for x
    x = 30,348,024,633.67/263,707.72
  6. Step 6: Final answer
    x = 115,082.05

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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.