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Finding the Fourth Proportional to 255,660.57, 383,490.86 and 78,167.58

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Solution

The fourth proportional to 255,660.57, 383,490.86 and 78,167.58 is: 117,251.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,660.57 : 383,490.86 = 78,167.58 : x
  2. Step 2: Convert to fraction form
    255,660.57/383,490.86 = 78,167.58/x
  3. Step 3: Cross multiply
    255,660.57x = 383,490.86 × 78,167.58
  4. Step 4: Simplify right side
    255,660.57x = 29,976,552,087.48
  5. Step 5: Solve for x
    x = 29,976,552,087.48/255,660.57
  6. Step 6: Final answer
    x = 117,251.37

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1.5x scale

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.