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Finding the Fourth Proportional to 51,659.61, 77,489.42 and 20,494.86

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Solution

The fourth proportional to 51,659.61, 77,489.42 and 20,494.86 is: 30,742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,659.61 : 77,489.42 = 20,494.86 : x
  2. Step 2: Convert to fraction form
    51,659.61/77,489.42 = 20,494.86/x
  3. Step 3: Cross multiply
    51,659.61x = 77,489.42 × 20,494.86
  4. Step 4: Simplify right side
    51,659.61x = 1,588,134,814.38
  5. Step 5: Solve for x
    x = 1,588,134,814.38/51,659.61
  6. Step 6: Final answer
    x = 30,742.29

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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.