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Finding the Fourth Proportional to 56,892.81, 85,350.23 and 21,829.74

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Solution

The fourth proportional to 56,892.81, 85,350.23 and 21,829.74 is: 32,748.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,892.81 : 85,350.23 = 21,829.74 : x
  2. Step 2: Convert to fraction form
    56,892.81/85,350.23 = 21,829.74/x
  3. Step 3: Cross multiply
    56,892.81x = 85,350.23 × 21,829.74
  4. Step 4: Simplify right side
    56,892.81x = 1,863,173,220.69
  5. Step 5: Solve for x
    x = 1,863,173,220.69/56,892.81
  6. Step 6: Final answer
    x = 32,748.83

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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.