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Finding the Fourth Proportional to 79,954.92, 120,031.74 and 51,782.76

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Solution

The fourth proportional to 79,954.92, 120,031.74 and 51,782.76 is: 77,738.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,954.92 : 120,031.74 = 51,782.76 : x
  2. Step 2: Convert to fraction form
    79,954.92/120,031.74 = 51,782.76/x
  3. Step 3: Cross multiply
    79,954.92x = 120,031.74 × 51,782.76
  4. Step 4: Simplify right side
    79,954.92x = 6,215,574,784.80
  5. Step 5: Solve for x
    x = 6,215,574,784.80/79,954.92
  6. Step 6: Final answer
    x = 77,738.49

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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.