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Finding the Fourth Proportional to 223,636, 308,617.68 and 123,031.84

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Solution

The fourth proportional to 223,636, 308,617.68 and 123,031.84 is: 169,783.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,636 : 308,617.68 = 123,031.84 : x
  2. Step 2: Convert to fraction form
    223,636/308,617.68 = 123,031.84/x
  3. Step 3: Cross multiply
    223,636x = 308,617.68 × 123,031.84
  4. Step 4: Simplify right side
    223,636x = 37,969,801,026.93
  5. Step 5: Solve for x
    x = 37,969,801,026.93/223,636
  6. Step 6: Final answer
    x = 169,783.94

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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.