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Finding the Fourth Proportional to 52,987, 73,131.80 and 30,631

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Solution

The fourth proportional to 52,987, 73,131.80 and 30,631 is: 42,276.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,987 : 73,131.80 = 30,631 : x
  2. Step 2: Convert to fraction form
    52,987/73,131.80 = 30,631/x
  3. Step 3: Cross multiply
    52,987x = 73,131.80 × 30,631
  4. Step 4: Simplify right side
    52,987x = 2,240,100,165.80
  5. Step 5: Solve for x
    x = 2,240,100,165.80/52,987
  6. Step 6: Final answer
    x = 42,276.41

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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.