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Finding the Fourth Proportional to 223,005, 307,707.20 and 126,208.40

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Solution

The fourth proportional to 223,005, 307,707.20 and 126,208.40 is: 174,145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,005 : 307,707.20 = 126,208.40 : x
  2. Step 2: Convert to fraction form
    223,005/307,707.20 = 126,208.40/x
  3. Step 3: Cross multiply
    223,005x = 307,707.20 × 126,208.40
  4. Step 4: Simplify right side
    223,005x = 38,835,233,380.48
  5. Step 5: Solve for x
    x = 38,835,233,380.48/223,005
  6. Step 6: Final answer
    x = 174,145.12

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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.