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Finding the Fourth Proportional to 202,809.94, 279,866.70 and 112,160.61

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Solution

The fourth proportional to 202,809.94, 279,866.70 and 112,160.61 is: 154,775.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,809.94 : 279,866.70 = 112,160.61 : x
  2. Step 2: Convert to fraction form
    202,809.94/279,866.70 = 112,160.61/x
  3. Step 3: Cross multiply
    202,809.94x = 279,866.70 × 112,160.61
  4. Step 4: Simplify right side
    202,809.94x = 31,390,019,790.69
  5. Step 5: Solve for x
    x = 31,390,019,790.69/202,809.94
  6. Step 6: Final answer
    x = 154,775.55

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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.