Home / 67,022.78-100,381-31,987.04

Finding the Fourth Proportional to 67,022.78, 100,381 and 31,987.04

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Solution

The fourth proportional to 67,022.78, 100,381 and 31,987.04 is: 47,907.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,022.78 : 100,381 = 31,987.04 : x
  2. Step 2: Convert to fraction form
    67,022.78/100,381 = 31,987.04/x
  3. Step 3: Cross multiply
    67,022.78x = 100,381 × 31,987.04
  4. Step 4: Simplify right side
    67,022.78x = 3,210,891,062.24
  5. Step 5: Solve for x
    x = 3,210,891,062.24/67,022.78
  6. Step 6: Final answer
    x = 47,907.46

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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.