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Finding the Fourth Proportional to 199,809.96, 275,799.78 and 123,353.16

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Solution

The fourth proportional to 199,809.96, 275,799.78 and 123,353.16 is: 170,265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,809.96 : 275,799.78 = 123,353.16 : x
  2. Step 2: Convert to fraction form
    199,809.96/275,799.78 = 123,353.16/x
  3. Step 3: Cross multiply
    199,809.96x = 275,799.78 × 123,353.16
  4. Step 4: Simplify right side
    199,809.96x = 34,020,774,390.30
  5. Step 5: Solve for x
    x = 34,020,774,390.30/199,809.96
  6. Step 6: Final answer
    x = 170,265.66

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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.