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Finding the Fourth Proportional to 255,932.94, 383,816.16 and 85,108.68

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Solution

The fourth proportional to 255,932.94, 383,816.16 and 85,108.68 is: 127,635.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,932.94 : 383,816.16 = 85,108.68 : x
  2. Step 2: Convert to fraction form
    255,932.94/383,816.16 = 85,108.68/x
  3. Step 3: Cross multiply
    255,932.94x = 383,816.16 × 85,108.68
  4. Step 4: Simplify right side
    255,932.94x = 32,666,086,740.27
  5. Step 5: Solve for x
    x = 32,666,086,740.27/255,932.94
  6. Step 6: Final answer
    x = 127,635.34

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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.