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Finding the Fourth Proportional to 255,423.86, 383,134.72 and 77,930.28

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Solution

The fourth proportional to 255,423.86, 383,134.72 and 77,930.28 is: 116,895.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,423.86 : 383,134.72 = 77,930.28 : x
  2. Step 2: Convert to fraction form
    255,423.86/383,134.72 = 77,930.28/x
  3. Step 3: Cross multiply
    255,423.86x = 383,134.72 × 77,930.28
  4. Step 4: Simplify right side
    255,423.86x = 29,857,796,007.32
  5. Step 5: Solve for x
    x = 29,857,796,007.32/255,423.86
  6. Step 6: Final answer
    x = 116,895.09

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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.