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Finding the Fourth Proportional to 202,820.94, 279,868.05 and 112,164.66

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Solution

The fourth proportional to 202,820.94, 279,868.05 and 112,164.66 is: 154,773.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,820.94 : 279,868.05 = 112,164.66 : x
  2. Step 2: Convert to fraction form
    202,820.94/279,868.05 = 112,164.66/x
  3. Step 3: Cross multiply
    202,820.94x = 279,868.05 × 112,164.66
  4. Step 4: Simplify right side
    202,820.94x = 31,391,304,673.11
  5. Step 5: Solve for x
    x = 31,391,304,673.11/202,820.94
  6. Step 6: Final answer
    x = 154,773.49

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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.