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Finding the Fourth Proportional to 255,286.19, 382,970.83 and 75,389.80

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Solution

The fourth proportional to 255,286.19, 382,970.83 and 75,389.80 is: 113,096.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,286.19 : 382,970.83 = 75,389.80 : x
  2. Step 2: Convert to fraction form
    255,286.19/382,970.83 = 75,389.80/x
  3. Step 3: Cross multiply
    255,286.19x = 382,970.83 × 75,389.80
  4. Step 4: Simplify right side
    255,286.19x = 28,872,094,852.48
  5. Step 5: Solve for x
    x = 28,872,094,852.48/255,286.19
  6. Step 6: Final answer
    x = 113,096.97

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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.