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Finding the Fourth Proportional to 227,800.90, 341,710.71 and 78,144.09

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Solution

The fourth proportional to 227,800.90, 341,710.71 and 78,144.09 is: 117,219.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,800.90 : 341,710.71 = 78,144.09 : x
  2. Step 2: Convert to fraction form
    227,800.90/341,710.71 = 78,144.09/x
  3. Step 3: Cross multiply
    227,800.90x = 341,710.71 × 78,144.09
  4. Step 4: Simplify right side
    227,800.90x = 26,702,672,476.20
  5. Step 5: Solve for x
    x = 26,702,672,476.20/227,800.90
  6. Step 6: Final answer
    x = 117,219.35

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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.