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Finding the Fourth Proportional to 223,456.50, 308,398.34 and 126,676.10

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Solution

The fourth proportional to 223,456.50, 308,398.34 and 126,676.10 is: 174,829.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,456.50 : 308,398.34 = 126,676.10 : x
  2. Step 2: Convert to fraction form
    223,456.50/308,398.34 = 126,676.10/x
  3. Step 3: Cross multiply
    223,456.50x = 308,398.34 × 126,676.10
  4. Step 4: Simplify right side
    223,456.50x = 39,066,699,332.81
  5. Step 5: Solve for x
    x = 39,066,699,332.81/223,456.50
  6. Step 6: Final answer
    x = 174,829.10

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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.