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Finding the Fourth Proportional to 56,530.80, 84,893.40 and 30,286.80

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Solution

The fourth proportional to 56,530.80, 84,893.40 and 30,286.80 is: 45,482.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,530.80 : 84,893.40 = 30,286.80 : x
  2. Step 2: Convert to fraction form
    56,530.80/84,893.40 = 30,286.80/x
  3. Step 3: Cross multiply
    56,530.80x = 84,893.40 × 30,286.80
  4. Step 4: Simplify right side
    56,530.80x = 2,571,149,427.12
  5. Step 5: Solve for x
    x = 2,571,149,427.12/56,530.80
  6. Step 6: Final answer
    x = 45,482.28

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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.