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Finding the Fourth Proportional to 82,415.40, 123,623.10 and 54,348.90

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Solution

The fourth proportional to 82,415.40, 123,623.10 and 54,348.90 is: 81,523.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,415.40 : 123,623.10 = 54,348.90 : x
  2. Step 2: Convert to fraction form
    82,415.40/123,623.10 = 54,348.90/x
  3. Step 3: Cross multiply
    82,415.40x = 123,623.10 × 54,348.90
  4. Step 4: Simplify right side
    82,415.40x = 6,718,779,499.59
  5. Step 5: Solve for x
    x = 6,718,779,499.59/82,415.40
  6. Step 6: Final answer
    x = 81,523.35

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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.