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Finding the Fourth Proportional to 226,500.84, 339,747.42 and 78,753

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Solution

The fourth proportional to 226,500.84, 339,747.42 and 78,753 is: 118,128.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,500.84 : 339,747.42 = 78,753 : x
  2. Step 2: Convert to fraction form
    226,500.84/339,747.42 = 78,753/x
  3. Step 3: Cross multiply
    226,500.84x = 339,747.42 × 78,753
  4. Step 4: Simplify right side
    226,500.84x = 26,756,128,567.26
  5. Step 5: Solve for x
    x = 26,756,128,567.26/226,500.84
  6. Step 6: Final answer
    x = 118,128.16

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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.