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Finding the Fourth Proportional to 50,762.92, 76,013.16 and 45,121

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Solution

The fourth proportional to 50,762.92, 76,013.16 and 45,121 is: 67,564.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,762.92 : 76,013.16 = 45,121 : x
  2. Step 2: Convert to fraction form
    50,762.92/76,013.16 = 45,121/x
  3. Step 3: Cross multiply
    50,762.92x = 76,013.16 × 45,121
  4. Step 4: Simplify right side
    50,762.92x = 3,429,789,792.36
  5. Step 5: Solve for x
    x = 3,429,789,792.36/50,762.92
  6. Step 6: Final answer
    x = 67,564.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.