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Finding the Fourth Proportional to 82,206.40, 123,090.90 and 52,463.20

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Solution

The fourth proportional to 82,206.40, 123,090.90 and 52,463.20 is: 78,555.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,206.40 : 123,090.90 = 52,463.20 : x
  2. Step 2: Convert to fraction form
    82,206.40/123,090.90 = 52,463.20/x
  3. Step 3: Cross multiply
    82,206.40x = 123,090.90 × 52,463.20
  4. Step 4: Simplify right side
    82,206.40x = 6,457,742,504.88
  5. Step 5: Solve for x
    x = 6,457,742,504.88/82,206.40
  6. Step 6: Final answer
    x = 78,555.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.