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Finding the Fourth Proportional to 56,026, 84,039 and 20,982.16

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Solution

The fourth proportional to 56,026, 84,039 and 20,982.16 is: 31,473.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,026 : 84,039 = 20,982.16 : x
  2. Step 2: Convert to fraction form
    56,026/84,039 = 20,982.16/x
  3. Step 3: Cross multiply
    56,026x = 84,039 × 20,982.16
  4. Step 4: Simplify right side
    56,026x = 1,763,319,744.24
  5. Step 5: Solve for x
    x = 1,763,319,744.24/56,026
  6. Step 6: Final answer
    x = 31,473.24

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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.