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Finding the Fourth Proportional to 56,405.72, 84,616.02 and 20,862.20

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Solution

The fourth proportional to 56,405.72, 84,616.02 and 20,862.20 is: 31,296.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,405.72 : 84,616.02 = 20,862.20 : x
  2. Step 2: Convert to fraction form
    56,405.72/84,616.02 = 20,862.20/x
  3. Step 3: Cross multiply
    56,405.72x = 84,616.02 × 20,862.20
  4. Step 4: Simplify right side
    56,405.72x = 1,765,276,332.44
  5. Step 5: Solve for x
    x = 1,765,276,332.44/56,405.72
  6. Step 6: Final answer
    x = 31,296.05

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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.