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Finding the Fourth Proportional to 255,178.29, 382,822.79 and 77,680.70

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Solution

The fourth proportional to 255,178.29, 382,822.79 and 77,680.70 is: 116,537.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,178.29 : 382,822.79 = 77,680.70 : x
  2. Step 2: Convert to fraction form
    255,178.29/382,822.79 = 77,680.70/x
  3. Step 3: Cross multiply
    255,178.29x = 382,822.79 × 77,680.70
  4. Step 4: Simplify right side
    255,178.29x = 29,737,940,000.64
  5. Step 5: Solve for x
    x = 29,737,940,000.64/255,178.29
  6. Step 6: Final answer
    x = 116,537.89

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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.