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Finding the Fourth Proportional to 223,109.40, 307,890.92 and 122,507.40

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Solution

The fourth proportional to 223,109.40, 307,890.92 and 122,507.40 is: 169,060.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,109.40 : 307,890.92 = 122,507.40 : x
  2. Step 2: Convert to fraction form
    223,109.40/307,890.92 = 122,507.40/x
  3. Step 3: Cross multiply
    223,109.40x = 307,890.92 × 122,507.40
  4. Step 4: Simplify right side
    223,109.40x = 37,718,916,092.81
  5. Step 5: Solve for x
    x = 37,718,916,092.81/223,109.40
  6. Step 6: Final answer
    x = 169,060.18

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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.