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Finding the Fourth Proportional to 43,781.55, 65,642.33 and 15,701

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Solution

The fourth proportional to 43,781.55, 65,642.33 and 15,701 is: 23,540.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,781.55 : 65,642.33 = 15,701 : x
  2. Step 2: Convert to fraction form
    43,781.55/65,642.33 = 15,701/x
  3. Step 3: Cross multiply
    43,781.55x = 65,642.33 × 15,701
  4. Step 4: Simplify right side
    43,781.55x = 1,030,650,223.33
  5. Step 5: Solve for x
    x = 1,030,650,223.33/43,781.55
  6. Step 6: Final answer
    x = 23,540.74

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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.