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Finding the Fourth Proportional to 51,894.87, 71,615.71 and 30,676.11

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Solution

The fourth proportional to 51,894.87, 71,615.71 and 30,676.11 is: 42,333.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,894.87 : 71,615.71 = 30,676.11 : x
  2. Step 2: Convert to fraction form
    51,894.87/71,615.71 = 30,676.11/x
  3. Step 3: Cross multiply
    51,894.87x = 71,615.71 × 30,676.11
  4. Step 4: Simplify right side
    51,894.87x = 2,196,891,397.69
  5. Step 5: Solve for x
    x = 2,196,891,397.69/51,894.87
  6. Step 6: Final answer
    x = 42,333.50

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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.