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Finding the Fourth Proportional to 82,508.40, 123,762.60 and 20,178.90

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Solution

The fourth proportional to 82,508.40, 123,762.60 and 20,178.90 is: 30,268.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,508.40 : 123,762.60 = 20,178.90 : x
  2. Step 2: Convert to fraction form
    82,508.40/123,762.60 = 20,178.90/x
  3. Step 3: Cross multiply
    82,508.40x = 123,762.60 × 20,178.90
  4. Step 4: Simplify right side
    82,508.40x = 2,497,393,129.14
  5. Step 5: Solve for x
    x = 2,497,393,129.14/82,508.40
  6. Step 6: Final answer
    x = 30,268.35

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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.