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Finding the Fourth Proportional to 82,003.90, 123,005.85 and 54,010.30

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Solution

The fourth proportional to 82,003.90, 123,005.85 and 54,010.30 is: 81,015.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,003.90 : 123,005.85 = 54,010.30 : x
  2. Step 2: Convert to fraction form
    82,003.90/123,005.85 = 54,010.30/x
  3. Step 3: Cross multiply
    82,003.90x = 123,005.85 × 54,010.30
  4. Step 4: Simplify right side
    82,003.90x = 6,643,582,860.26
  5. Step 5: Solve for x
    x = 6,643,582,860.26/82,003.90
  6. Step 6: Final answer
    x = 81,015.45

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1.5x scale

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.