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Finding the Fourth Proportional to 202,774.05, 279,830 and 112,136.12

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Solution

The fourth proportional to 202,774.05, 279,830 and 112,136.12 is: 154,748.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,774.05 : 279,830 = 112,136.12 : x
  2. Step 2: Convert to fraction form
    202,774.05/279,830 = 112,136.12/x
  3. Step 3: Cross multiply
    202,774.05x = 279,830 × 112,136.12
  4. Step 4: Simplify right side
    202,774.05x = 31,379,049,060.45
  5. Step 5: Solve for x
    x = 31,379,049,060.45/202,774.05
  6. Step 6: Final answer
    x = 154,748.84

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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.