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Finding the Fourth Proportional to 202,648.78, 279,669.80 and 112,002.79

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Solution

The fourth proportional to 202,648.78, 279,669.80 and 112,002.79 is: 154,571.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,648.78 : 279,669.80 = 112,002.79 : x
  2. Step 2: Convert to fraction form
    202,648.78/279,669.80 = 112,002.79/x
  3. Step 3: Cross multiply
    202,648.78x = 279,669.80 × 112,002.79
  4. Step 4: Simplify right side
    202,648.78x = 31,323,797,878.74
  5. Step 5: Solve for x
    x = 31,323,797,878.74/202,648.78
  6. Step 6: Final answer
    x = 154,571.86

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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.