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Finding the Fourth Proportional to 43,506.72, 65,265.12 and 15,811.20

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Solution

The fourth proportional to 43,506.72, 65,265.12 and 15,811.20 is: 23,718.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,506.72 : 65,265.12 = 15,811.20 : x
  2. Step 2: Convert to fraction form
    43,506.72/65,265.12 = 15,811.20/x
  3. Step 3: Cross multiply
    43,506.72x = 65,265.12 × 15,811.20
  4. Step 4: Simplify right side
    43,506.72x = 1,031,919,865.34
  5. Step 5: Solve for x
    x = 1,031,919,865.34/43,506.72
  6. Step 6: Final answer
    x = 23,718.63

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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.