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Finding the Fourth Proportional to 43,642.88, 65,423.68 and 15,920

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Solution

The fourth proportional to 43,642.88, 65,423.68 and 15,920 is: 23,865.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,642.88 : 65,423.68 = 15,920 : x
  2. Step 2: Convert to fraction form
    43,642.88/65,423.68 = 15,920/x
  3. Step 3: Cross multiply
    43,642.88x = 65,423.68 × 15,920
  4. Step 4: Simplify right side
    43,642.88x = 1,041,544,985.60
  5. Step 5: Solve for x
    x = 1,041,544,985.60/43,642.88
  6. Step 6: Final answer
    x = 23,865.18

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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.