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Finding the Fourth Proportional to 202,774.72, 279,830.93 and 112,136.78

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Solution

The fourth proportional to 202,774.72, 279,830.93 and 112,136.78 is: 154,749.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,774.72 : 279,830.93 = 112,136.78 : x
  2. Step 2: Convert to fraction form
    202,774.72/279,830.93 = 112,136.78/x
  3. Step 3: Cross multiply
    202,774.72x = 279,830.93 × 112,136.78
  4. Step 4: Simplify right side
    202,774.72x = 31,379,339,434.61
  5. Step 5: Solve for x
    x = 31,379,339,434.61/202,774.72
  6. Step 6: Final answer
    x = 154,749.76

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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.