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Finding the Fourth Proportional to 255,877.80, 383,816.34 and 68,889.48

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Solution

The fourth proportional to 255,877.80, 383,816.34 and 68,889.48 is: 103,334.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,877.80 : 383,816.34 = 68,889.48 : x
  2. Step 2: Convert to fraction form
    255,877.80/383,816.34 = 68,889.48/x
  3. Step 3: Cross multiply
    255,877.80x = 383,816.34 × 68,889.48
  4. Step 4: Simplify right side
    255,877.80x = 26,440,908,078.10
  5. Step 5: Solve for x
    x = 26,440,908,078.10/255,877.80
  6. Step 6: Final answer
    x = 103,334.12

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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.