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Finding the Fourth Proportional to 226,071.82, 311,915.19 and 145,545.94

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Solution

The fourth proportional to 226,071.82, 311,915.19 and 145,545.94 is: 200,812.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,071.82 : 311,915.19 = 145,545.94 : x
  2. Step 2: Convert to fraction form
    226,071.82/311,915.19 = 145,545.94/x
  3. Step 3: Cross multiply
    226,071.82x = 311,915.19 × 145,545.94
  4. Step 4: Simplify right side
    226,071.82x = 45,397,989,528.83
  5. Step 5: Solve for x
    x = 45,397,989,528.83/226,071.82
  6. Step 6: Final answer
    x = 200,812.24

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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.