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Finding the Fourth Proportional to 217,914, 300,737.72 and 133,047.47

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Solution

The fourth proportional to 217,914, 300,737.72 and 133,047.47 is: 183,615.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,914 : 300,737.72 = 133,047.47 : x
  2. Step 2: Convert to fraction form
    217,914/300,737.72 = 133,047.47/x
  3. Step 3: Cross multiply
    217,914x = 300,737.72 × 133,047.47
  4. Step 4: Simplify right side
    217,914x = 40,012,391,608.50
  5. Step 5: Solve for x
    x = 40,012,391,608.50/217,914
  6. Step 6: Final answer
    x = 183,615.52

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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.