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Finding the Fourth Proportional to 51,960.76, 71,706.54 and 30,739.48

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Solution

The fourth proportional to 51,960.76, 71,706.54 and 30,739.48 is: 42,420.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,960.76 : 71,706.54 = 30,739.48 : x
  2. Step 2: Convert to fraction form
    51,960.76/71,706.54 = 30,739.48/x
  3. Step 3: Cross multiply
    51,960.76x = 71,706.54 × 30,739.48
  4. Step 4: Simplify right side
    51,960.76x = 2,204,221,752.20
  5. Step 5: Solve for x
    x = 2,204,221,752.20/51,960.76
  6. Step 6: Final answer
    x = 42,420.89

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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.