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Finding the Fourth Proportional to 202,774.85, 279,831.10 and 112,136.91

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Solution

The fourth proportional to 202,774.85, 279,831.10 and 112,136.91 is: 154,749.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,774.85 : 279,831.10 = 112,136.91 : x
  2. Step 2: Convert to fraction form
    202,774.85/279,831.10 = 112,136.91/x
  3. Step 3: Cross multiply
    202,774.85x = 279,831.10 × 112,136.91
  4. Step 4: Simplify right side
    202,774.85x = 31,379,395,016.07
  5. Step 5: Solve for x
    x = 31,379,395,016.07/202,774.85
  6. Step 6: Final answer
    x = 154,749.94

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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.