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Finding the Fourth Proportional to 223,156.48, 307,962.24 and 122,560.96

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Solution

The fourth proportional to 223,156.48, 307,962.24 and 122,560.96 is: 169,137.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,156.48 : 307,962.24 = 122,560.96 : x
  2. Step 2: Convert to fraction form
    223,156.48/307,962.24 = 122,560.96/x
  3. Step 3: Cross multiply
    223,156.48x = 307,962.24 × 122,560.96
  4. Step 4: Simplify right side
    223,156.48x = 37,744,147,778.15
  5. Step 5: Solve for x
    x = 37,744,147,778.15/223,156.48
  6. Step 6: Final answer
    x = 169,137.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.