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Finding the Fourth Proportional to 56,502.81, 84,751.46 and 20,971.05

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Solution

The fourth proportional to 56,502.81, 84,751.46 and 20,971.05 is: 31,455.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,502.81 : 84,751.46 = 20,971.05 : x
  2. Step 2: Convert to fraction form
    56,502.81/84,751.46 = 20,971.05/x
  3. Step 3: Cross multiply
    56,502.81x = 84,751.46 × 20,971.05
  4. Step 4: Simplify right side
    56,502.81x = 1,777,327,105.23
  5. Step 5: Solve for x
    x = 1,777,327,105.23/56,502.81
  6. Step 6: Final answer
    x = 31,455.55

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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.