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Finding the Fourth Proportional to 151,661.90, 227,632.48 and 76,834.10

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Solution

The fourth proportional to 151,661.90, 227,632.48 and 76,834.10 is: 115,321.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,661.90 : 227,632.48 = 76,834.10 : x
  2. Step 2: Convert to fraction form
    151,661.90/227,632.48 = 76,834.10/x
  3. Step 3: Cross multiply
    151,661.90x = 227,632.48 × 76,834.10
  4. Step 4: Simplify right side
    151,661.90x = 17,489,937,108.56
  5. Step 5: Solve for x
    x = 17,489,937,108.56/151,661.90
  6. Step 6: Final answer
    x = 115,321.89

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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.