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Finding the Fourth Proportional to 43,658.35, 65,459.35 and 20,849.85

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Solution

The fourth proportional to 43,658.35, 65,459.35 and 20,849.85 is: 31,261.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,658.35 : 65,459.35 = 20,849.85 : x
  2. Step 2: Convert to fraction form
    43,658.35/65,459.35 = 20,849.85/x
  3. Step 3: Cross multiply
    43,658.35x = 65,459.35 × 20,849.85
  4. Step 4: Simplify right side
    43,658.35x = 1,364,817,576.47
  5. Step 5: Solve for x
    x = 1,364,817,576.47/43,658.35
  6. Step 6: Final answer
    x = 31,261.32

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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.