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Finding the Fourth Proportional to 43,655.70, 65,462.82 and 19,956.21

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Solution

The fourth proportional to 43,655.70, 65,462.82 and 19,956.21 is: 29,924.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,655.70 : 65,462.82 = 19,956.21 : x
  2. Step 2: Convert to fraction form
    43,655.70/65,462.82 = 19,956.21/x
  3. Step 3: Cross multiply
    43,655.70x = 65,462.82 × 19,956.21
  4. Step 4: Simplify right side
    43,655.70x = 1,306,389,978.71
  5. Step 5: Solve for x
    x = 1,306,389,978.71/43,655.70
  6. Step 6: Final answer
    x = 29,924.84

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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.