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Finding the Fourth Proportional to 43,890, 65,835.78 and 14,307.72

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Solution

The fourth proportional to 43,890, 65,835.78 and 14,307.72 is: 21,461.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,890 : 65,835.78 = 14,307.72 : x
  2. Step 2: Convert to fraction form
    43,890/65,835.78 = 14,307.72/x
  3. Step 3: Cross multiply
    43,890x = 65,835.78 × 14,307.72
  4. Step 4: Simplify right side
    43,890x = 941,959,906.22
  5. Step 5: Solve for x
    x = 941,959,906.22/43,890
  6. Step 6: Final answer
    x = 21,461.83

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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.