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Finding the Fourth Proportional to 255,853.12, 383,766.72 and 89,628.16

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Solution

The fourth proportional to 255,853.12, 383,766.72 and 89,628.16 is: 134,437.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,853.12 : 383,766.72 = 89,628.16 : x
  2. Step 2: Convert to fraction form
    255,853.12/383,766.72 = 89,628.16/x
  3. Step 3: Cross multiply
    255,853.12x = 383,766.72 × 89,628.16
  4. Step 4: Simplify right side
    255,853.12x = 34,396,304,982.84
  5. Step 5: Solve for x
    x = 34,396,304,982.84/255,853.12
  6. Step 6: Final answer
    x = 134,437.70

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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.