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Finding the Fourth Proportional to 255,857.20, 383,461.80 and 97,874.80

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Solution

The fourth proportional to 255,857.20, 383,461.80 and 97,874.80 is: 146,688.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,857.20 : 383,461.80 = 97,874.80 : x
  2. Step 2: Convert to fraction form
    255,857.20/383,461.80 = 97,874.80/x
  3. Step 3: Cross multiply
    255,857.20x = 383,461.80 × 97,874.80
  4. Step 4: Simplify right side
    255,857.20x = 37,531,246,982.64
  5. Step 5: Solve for x
    x = 37,531,246,982.64/255,857.20
  6. Step 6: Final answer
    x = 146,688.26

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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.