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Finding the Fourth Proportional to 255,937.71, 384,142.19 and 129,665.79

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Solution

The fourth proportional to 255,937.71, 384,142.19 and 129,665.79 is: 194,618.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,937.71 : 384,142.19 = 129,665.79 : x
  2. Step 2: Convert to fraction form
    255,937.71/384,142.19 = 129,665.79/x
  3. Step 3: Cross multiply
    255,937.71x = 384,142.19 × 129,665.79
  4. Step 4: Simplify right side
    255,937.71x = 49,810,099,890.35
  5. Step 5: Solve for x
    x = 49,810,099,890.35/255,937.71
  6. Step 6: Final answer
    x = 194,618.06

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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.