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Finding the Fourth Proportional to 202,773.72, 279,829.55 and 112,135.78

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Solution

The fourth proportional to 202,773.72, 279,829.55 and 112,135.78 is: 154,748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,773.72 : 279,829.55 = 112,135.78 : x
  2. Step 2: Convert to fraction form
    202,773.72/279,829.55 = 112,135.78/x
  3. Step 3: Cross multiply
    202,773.72x = 279,829.55 × 112,135.78
  4. Step 4: Simplify right side
    202,773.72x = 31,378,905,800.37
  5. Step 5: Solve for x
    x = 31,378,905,800.37/202,773.72
  6. Step 6: Final answer
    x = 154,748.38

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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.