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Finding the Fourth Proportional to 156,478.65, 234,708.24 and 49,859.97

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Solution

The fourth proportional to 156,478.65, 234,708.24 and 49,859.97 is: 74,786.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,478.65 : 234,708.24 = 49,859.97 : x
  2. Step 2: Convert to fraction form
    156,478.65/234,708.24 = 49,859.97/x
  3. Step 3: Cross multiply
    156,478.65x = 234,708.24 × 49,859.97
  4. Step 4: Simplify right side
    156,478.65x = 11,702,545,805.15
  5. Step 5: Solve for x
    x = 11,702,545,805.15/156,478.65
  6. Step 6: Final answer
    x = 74,786.85

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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.