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Finding the Fourth Proportional to 31,169.90, 43,012.80 and 17,019.98

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Solution

The fourth proportional to 31,169.90, 43,012.80 and 17,019.98 is: 23,486.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,169.90 : 43,012.80 = 17,019.98 : x
  2. Step 2: Convert to fraction form
    31,169.90/43,012.80 = 17,019.98/x
  3. Step 3: Cross multiply
    31,169.90x = 43,012.80 × 17,019.98
  4. Step 4: Simplify right side
    31,169.90x = 732,076,995.74
  5. Step 5: Solve for x
    x = 732,076,995.74/31,169.90
  6. Step 6: Final answer
    x = 23,486.66

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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.