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Finding the Fourth Proportional to 82,210.49, 123,066.03 and 52,649.10

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Solution

The fourth proportional to 82,210.49, 123,066.03 and 52,649.10 is: 78,813.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,210.49 : 123,066.03 = 52,649.10 : x
  2. Step 2: Convert to fraction form
    82,210.49/123,066.03 = 52,649.10/x
  3. Step 3: Cross multiply
    82,210.49x = 123,066.03 × 52,649.10
  4. Step 4: Simplify right side
    82,210.49x = 6,479,315,917.51
  5. Step 5: Solve for x
    x = 6,479,315,917.51/82,210.49
  6. Step 6: Final answer
    x = 78,813.74

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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.