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Finding the Fourth Proportional to 56,811.32, 85,198.80 and 18,852.20

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Solution

The fourth proportional to 56,811.32, 85,198.80 and 18,852.20 is: 28,272.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,811.32 : 85,198.80 = 18,852.20 : x
  2. Step 2: Convert to fraction form
    56,811.32/85,198.80 = 18,852.20/x
  3. Step 3: Cross multiply
    56,811.32x = 85,198.80 × 18,852.20
  4. Step 4: Simplify right side
    56,811.32x = 1,606,184,817.36
  5. Step 5: Solve for x
    x = 1,606,184,817.36/56,811.32
  6. Step 6: Final answer
    x = 28,272.27

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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.