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Finding the Fourth Proportional to 202,774.47, 279,830.58 and 112,136.54

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Solution

The fourth proportional to 202,774.47, 279,830.58 and 112,136.54 is: 154,749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,774.47 : 279,830.58 = 112,136.54 : x
  2. Step 2: Convert to fraction form
    202,774.47/279,830.58 = 112,136.54/x
  3. Step 3: Cross multiply
    202,774.47x = 279,830.58 × 112,136.54
  4. Step 4: Simplify right side
    202,774.47x = 31,379,231,628.24
  5. Step 5: Solve for x
    x = 31,379,231,628.24/202,774.47
  6. Step 6: Final answer
    x = 154,749.42

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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.