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Finding the Fourth Proportional to 66,811.80, 100,217.70 and 56,314.20

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Solution

The fourth proportional to 66,811.80, 100,217.70 and 56,314.20 is: 84,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,811.80 : 100,217.70 = 56,314.20 : x
  2. Step 2: Convert to fraction form
    66,811.80/100,217.70 = 56,314.20/x
  3. Step 3: Cross multiply
    66,811.80x = 100,217.70 × 56,314.20
  4. Step 4: Simplify right side
    66,811.80x = 5,643,679,601.34
  5. Step 5: Solve for x
    x = 5,643,679,601.34/66,811.80
  6. Step 6: Final answer
    x = 84,471.30

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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.