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Finding the Fourth Proportional to 56,052.72, 84,062.64 and 20,984.16

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Solution

The fourth proportional to 56,052.72, 84,062.64 and 20,984.16 is: 31,470.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,052.72 : 84,062.64 = 20,984.16 : x
  2. Step 2: Convert to fraction form
    56,052.72/84,062.64 = 20,984.16/x
  3. Step 3: Cross multiply
    56,052.72x = 84,062.64 × 20,984.16
  4. Step 4: Simplify right side
    56,052.72x = 1,763,983,887.78
  5. Step 5: Solve for x
    x = 1,763,983,887.78/56,052.72
  6. Step 6: Final answer
    x = 31,470.09

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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.