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Finding the Fourth Proportional to 56,882.40, 85,325.76 and 21,825.60

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Solution

The fourth proportional to 56,882.40, 85,325.76 and 21,825.60 is: 32,739.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,882.40 : 85,325.76 = 21,825.60 : x
  2. Step 2: Convert to fraction form
    56,882.40/85,325.76 = 21,825.60/x
  3. Step 3: Cross multiply
    56,882.40x = 85,325.76 × 21,825.60
  4. Step 4: Simplify right side
    56,882.40x = 1,862,285,907.46
  5. Step 5: Solve for x
    x = 1,862,285,907.46/56,882.40
  6. Step 6: Final answer
    x = 32,739.23

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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.