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Finding the Fourth Proportional to 56,767.20, 85,189.20 and 31,807.20

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Solution

The fourth proportional to 56,767.20, 85,189.20 and 31,807.20 is: 47,732.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,767.20 : 85,189.20 = 31,807.20 : x
  2. Step 2: Convert to fraction form
    56,767.20/85,189.20 = 31,807.20/x
  3. Step 3: Cross multiply
    56,767.20x = 85,189.20 × 31,807.20
  4. Step 4: Simplify right side
    56,767.20x = 2,709,629,922.24
  5. Step 5: Solve for x
    x = 2,709,629,922.24/56,767.20
  6. Step 6: Final answer
    x = 47,732.32

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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.