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Finding the Fourth Proportional to 80,240.36, 110,713.38 and 51,575

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Solution

The fourth proportional to 80,240.36, 110,713.38 and 51,575 is: 71,161.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,240.36 : 110,713.38 = 51,575 : x
  2. Step 2: Convert to fraction form
    80,240.36/110,713.38 = 51,575/x
  3. Step 3: Cross multiply
    80,240.36x = 110,713.38 × 51,575
  4. Step 4: Simplify right side
    80,240.36x = 5,710,042,573.50
  5. Step 5: Solve for x
    x = 5,710,042,573.50/80,240.36
  6. Step 6: Final answer
    x = 71,161.73

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1.5x scale

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.