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Finding the Fourth Proportional to 82,103.50, 123,116.97 and 42,650.02

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Solution

The fourth proportional to 82,103.50, 123,116.97 and 42,650.02 is: 63,955.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,103.50 : 123,116.97 = 42,650.02 : x
  2. Step 2: Convert to fraction form
    82,103.50/123,116.97 = 42,650.02/x
  3. Step 3: Cross multiply
    82,103.50x = 123,116.97 × 42,650.02
  4. Step 4: Simplify right side
    82,103.50x = 5,250,941,232.84
  5. Step 5: Solve for x
    x = 5,250,941,232.84/82,103.50
  6. Step 6: Final answer
    x = 63,955.14

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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.