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Finding the Fourth Proportional to 255,306.54, 383,016.68 and 77,827.37

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Solution

The fourth proportional to 255,306.54, 383,016.68 and 77,827.37 is: 116,758.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,306.54 : 383,016.68 = 77,827.37 : x
  2. Step 2: Convert to fraction form
    255,306.54/383,016.68 = 77,827.37/x
  3. Step 3: Cross multiply
    255,306.54x = 383,016.68 × 77,827.37
  4. Step 4: Simplify right side
    255,306.54x = 29,809,182,022.64
  5. Step 5: Solve for x
    x = 29,809,182,022.64/255,306.54
  6. Step 6: Final answer
    x = 116,758.40

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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.