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Finding the Fourth Proportional to 82,385.20, 123,577.80 and 49,142.80

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Solution

The fourth proportional to 82,385.20, 123,577.80 and 49,142.80 is: 73,714.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,385.20 : 123,577.80 = 49,142.80 : x
  2. Step 2: Convert to fraction form
    82,385.20/123,577.80 = 49,142.80/x
  3. Step 3: Cross multiply
    82,385.20x = 123,577.80 × 49,142.80
  4. Step 4: Simplify right side
    82,385.20x = 6,072,959,109.84
  5. Step 5: Solve for x
    x = 6,072,959,109.84/82,385.20
  6. Step 6: Final answer
    x = 73,714.20

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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.